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Finding the Fourth Proportional to 906,391,808.60, 1,359,587,712.90 and 293,415,949.40

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Solution

The fourth proportional to 906,391,808.60, 1,359,587,712.90 and 293,415,949.40 is: 440,123,924.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,391,808.60 : 1,359,587,712.90 = 293,415,949.40 : x
  2. Step 2: Convert to fraction form
    906,391,808.60/1,359,587,712.90 = 293,415,949.40/x
  3. Step 3: Cross multiply
    906,391,808.60x = 1,359,587,712.90 × 293,415,949.40
  4. Step 4: Simplify right side
    906,391,808.60x = 398,924,719,573,128,128
  5. Step 5: Solve for x
    x = 398,924,719,573,128,128/906,391,808.60
  6. Step 6: Final answer
    x = 440,123,924.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.