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Finding the Fourth Proportional to 317,565,522,061.68, 476,348,283,092.52 and 317,565,522,061.68

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Solution

The fourth proportional to 317,565,522,061.68, 476,348,283,092.52 and 317,565,522,061.68 is: 476,348,283,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,565,522,061.68 : 476,348,283,092.52 = 317,565,522,061.68 : x
  2. Step 2: Convert to fraction form
    317,565,522,061.68/476,348,283,092.52 = 317,565,522,061.68/x
  3. Step 3: Cross multiply
    317,565,522,061.68x = 476,348,283,092.52 × 317,565,522,061.68
  4. Step 4: Simplify right side
    317,565,522,061.68x = 151,271,791,203,461,046,992,896
  5. Step 5: Solve for x
    x = 151,271,791,203,461,046,992,896/317,565,522,061.68
  6. Step 6: Final answer
    x = 476,348,283,092.52

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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.