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Finding the Fourth Proportional to 77,266,028,009.60, 115,899,042,014.40 and 77,266,028,009.60

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Solution

The fourth proportional to 77,266,028,009.60, 115,899,042,014.40 and 77,266,028,009.60 is: 115,899,042,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,266,028,009.60 : 115,899,042,014.40 = 77,266,028,009.60 : x
  2. Step 2: Convert to fraction form
    77,266,028,009.60/115,899,042,014.40 = 77,266,028,009.60/x
  3. Step 3: Cross multiply
    77,266,028,009.60x = 115,899,042,014.40 × 77,266,028,009.60
  4. Step 4: Simplify right side
    77,266,028,009.60x = 8,955,058,626,570,437,525,504
  5. Step 5: Solve for x
    x = 8,955,058,626,570,437,525,504/77,266,028,009.60
  6. Step 6: Final answer
    x = 115,899,042,014.40

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.