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Finding the Fourth Proportional to 502,759,224,000.10, 754,138,836,000.15 and 502,759,224,000.10

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Solution

The fourth proportional to 502,759,224,000.10, 754,138,836,000.15 and 502,759,224,000.10 is: 754,138,836,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,759,224,000.10 : 754,138,836,000.15 = 502,759,224,000.10 : x
  2. Step 2: Convert to fraction form
    502,759,224,000.10/754,138,836,000.15 = 502,759,224,000.10/x
  3. Step 3: Cross multiply
    502,759,224,000.10x = 754,138,836,000.15 × 502,759,224,000.10
  4. Step 4: Simplify right side
    502,759,224,000.10x = 379,150,255,975,774,069,719,040
  5. Step 5: Solve for x
    x = 379,150,255,975,774,069,719,040/502,759,224,000.10
  6. Step 6: Final answer
    x = 754,138,836,000.15

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