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Finding the Fourth Proportional to 502,759,224,000.40, 754,138,836,000.70 and 502,759,224,000.40

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Solution

The fourth proportional to 502,759,224,000.40, 754,138,836,000.70 and 502,759,224,000.40 is: 754,138,836,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,759,224,000.40 : 754,138,836,000.70 = 502,759,224,000.40 : x
  2. Step 2: Convert to fraction form
    502,759,224,000.40/754,138,836,000.70 = 502,759,224,000.40/x
  3. Step 3: Cross multiply
    502,759,224,000.40x = 754,138,836,000.70 × 502,759,224,000.40
  4. Step 4: Simplify right side
    502,759,224,000.40x = 379,150,255,976,276,849,328,128
  5. Step 5: Solve for x
    x = 379,150,255,976,276,849,328,128/502,759,224,000.40
  6. Step 6: Final answer
    x = 754,138,836,000.70

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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.