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Finding the Fourth Proportional to 906,523,277.60, 1,359,784,916.40 and 361,655,847.20

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Solution

The fourth proportional to 906,523,277.60, 1,359,784,916.40 and 361,655,847.20 is: 542,483,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,523,277.60 : 1,359,784,916.40 = 361,655,847.20 : x
  2. Step 2: Convert to fraction form
    906,523,277.60/1,359,784,916.40 = 361,655,847.20/x
  3. Step 3: Cross multiply
    906,523,277.60x = 1,359,784,916.40 × 361,655,847.20
  4. Step 4: Simplify right side
    906,523,277.60x = 491,774,165,950,423,168
  5. Step 5: Solve for x
    x = 491,774,165,950,423,168/906,523,277.60
  6. Step 6: Final answer
    x = 542,483,770.80

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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.