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Finding the Fourth Proportional to 604,395,819.40, 906,593,729.10 and 472,881,886.60

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Solution

The fourth proportional to 604,395,819.40, 906,593,729.10 and 472,881,886.60 is: 709,322,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,395,819.40 : 906,593,729.10 = 472,881,886.60 : x
  2. Step 2: Convert to fraction form
    604,395,819.40/906,593,729.10 = 472,881,886.60/x
  3. Step 3: Cross multiply
    604,395,819.40x = 906,593,729.10 × 472,881,886.60
  4. Step 4: Simplify right side
    604,395,819.40x = 428,711,752,996,537,344
  5. Step 5: Solve for x
    x = 428,711,752,996,537,344/604,395,819.40
  6. Step 6: Final answer
    x = 709,322,829.90

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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.