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Finding the Fourth Proportional to 506,448,384.60, 710,640,169.80 and 506,448,384.60

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Solution

The fourth proportional to 506,448,384.60, 710,640,169.80 and 506,448,384.60 is: 710,640,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,448,384.60 : 710,640,169.80 = 506,448,384.60 : x
  2. Step 2: Convert to fraction form
    506,448,384.60/710,640,169.80 = 506,448,384.60/x
  3. Step 3: Cross multiply
    506,448,384.60x = 710,640,169.80 × 506,448,384.60
  4. Step 4: Simplify right side
    506,448,384.60x = 359,902,566,027,079,680
  5. Step 5: Solve for x
    x = 359,902,566,027,079,680/506,448,384.60
  6. Step 6: Final answer
    x = 710,640,169.80

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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.