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Finding the Fourth Proportional to 604,415,330.60, 906,175,098.30 and 409,841,148.20

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Solution

The fourth proportional to 604,415,330.60, 906,175,098.30 and 409,841,148.20 is: 614,458,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,415,330.60 : 906,175,098.30 = 409,841,148.20 : x
  2. Step 2: Convert to fraction form
    604,415,330.60/906,175,098.30 = 409,841,148.20/x
  3. Step 3: Cross multiply
    604,415,330.60x = 906,175,098.30 × 409,841,148.20
  4. Step 4: Simplify right side
    604,415,330.60x = 371,387,842,757,519,808
  5. Step 5: Solve for x
    x = 371,387,842,757,519,808/604,415,330.60
  6. Step 6: Final answer
    x = 614,458,012.49

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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.