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Finding the Fourth Proportional to 2,125,766,999.40, 2,969,186,323.80 and 2,125,766,999.40

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Solution

The fourth proportional to 2,125,766,999.40, 2,969,186,323.80 and 2,125,766,999.40 is: 2,969,186,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,766,999.40 : 2,969,186,323.80 = 2,125,766,999.40 : x
  2. Step 2: Convert to fraction form
    2,125,766,999.40/2,969,186,323.80 = 2,125,766,999.40/x
  3. Step 3: Cross multiply
    2,125,766,999.40x = 2,969,186,323.80 × 2,125,766,999.40
  4. Step 4: Simplify right side
    2,125,766,999.40x = 6,311,798,302,203,843,584
  5. Step 5: Solve for x
    x = 6,311,798,302,203,843,584/2,125,766,999.40
  6. Step 6: Final answer
    x = 2,969,186,323.80

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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.