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Finding the Fourth Proportional to 506,448,363.60, 710,640,140.40 and 506,448,363.60

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Solution

The fourth proportional to 506,448,363.60, 710,640,140.40 and 506,448,363.60 is: 710,640,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,448,363.60 : 710,640,140.40 = 506,448,363.60 : x
  2. Step 2: Convert to fraction form
    506,448,363.60/710,640,140.40 = 506,448,363.60/x
  3. Step 3: Cross multiply
    506,448,363.60x = 710,640,140.40 × 506,448,363.60
  4. Step 4: Simplify right side
    506,448,363.60x = 359,902,536,214,054,272
  5. Step 5: Solve for x
    x = 359,902,536,214,054,272/506,448,363.60
  6. Step 6: Final answer
    x = 710,640,140.40

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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.