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Finding the Fourth Proportional to 834,971,919.32, 1,152,461,929.20 and 477,946,658.54

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Solution

The fourth proportional to 834,971,919.32, 1,152,461,929.20 and 477,946,658.54 is: 659,681,260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,971,919.32 : 1,152,461,929.20 = 477,946,658.54 : x
  2. Step 2: Convert to fraction form
    834,971,919.32/1,152,461,929.20 = 477,946,658.54/x
  3. Step 3: Cross multiply
    834,971,919.32x = 1,152,461,929.20 × 477,946,658.54
  4. Step 4: Simplify right side
    834,971,919.32x = 550,815,328,155,702,080
  5. Step 5: Solve for x
    x = 550,815,328,155,702,080/834,971,919.32
  6. Step 6: Final answer
    x = 659,681,260.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.