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Finding the Fourth Proportional to 12,178,187,368.80, 17,012,729,114.40 and 12,178,187,368.80

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Solution

The fourth proportional to 12,178,187,368.80, 17,012,729,114.40 and 12,178,187,368.80 is: 17,012,729,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178,187,368.80 : 17,012,729,114.40 = 12,178,187,368.80 : x
  2. Step 2: Convert to fraction form
    12,178,187,368.80/17,012,729,114.40 = 12,178,187,368.80/x
  3. Step 3: Cross multiply
    12,178,187,368.80x = 17,012,729,114.40 × 12,178,187,368.80
  4. Step 4: Simplify right side
    12,178,187,368.80x = 207,184,202,809,802,063,872
  5. Step 5: Solve for x
    x = 207,184,202,809,802,063,872/12,178,187,368.80
  6. Step 6: Final answer
    x = 17,012,729,114.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.