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Finding the Fourth Proportional to 604,415,375.60, 906,175,165.80 and 409,841,193.20

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Solution

The fourth proportional to 604,415,375.60, 906,175,165.80 and 409,841,193.20 is: 614,458,079.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,415,375.60 : 906,175,165.80 = 409,841,193.20 : x
  2. Step 2: Convert to fraction form
    604,415,375.60/906,175,165.80 = 409,841,193.20/x
  3. Step 3: Cross multiply
    604,415,375.60x = 906,175,165.80 × 409,841,193.20
  4. Step 4: Simplify right side
    604,415,375.60x = 371,387,911,199,679,808
  5. Step 5: Solve for x
    x = 371,387,911,199,679,808/604,415,375.60
  6. Step 6: Final answer
    x = 614,458,079.98

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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.