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Finding the Fourth Proportional to 506,448,384.10, 710,640,169.10 and 506,448,384.10

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Solution

The fourth proportional to 506,448,384.10, 710,640,169.10 and 506,448,384.10 is: 710,640,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,448,384.10 : 710,640,169.10 = 506,448,384.10 : x
  2. Step 2: Convert to fraction form
    506,448,384.10/710,640,169.10 = 506,448,384.10/x
  3. Step 3: Cross multiply
    506,448,384.10x = 710,640,169.10 × 506,448,384.10
  4. Step 4: Simplify right side
    506,448,384.10x = 359,902,565,317,245,760
  5. Step 5: Solve for x
    x = 359,902,565,317,245,760/506,448,384.10
  6. Step 6: Final answer
    x = 710,640,169.10

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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.