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Finding the Fourth Proportional to 862,974,388.90, 1,294,485,701.18 and 280,708,636.74

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Solution

The fourth proportional to 862,974,388.90, 1,294,485,701.18 and 280,708,636.74 is: 421,070,800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,974,388.90 : 1,294,485,701.18 = 280,708,636.74 : x
  2. Step 2: Convert to fraction form
    862,974,388.90/1,294,485,701.18 = 280,708,636.74/x
  3. Step 3: Cross multiply
    862,974,388.90x = 1,294,485,701.18 × 280,708,636.74
  4. Step 4: Simplify right side
    862,974,388.90x = 363,373,316,462,208,256
  5. Step 5: Solve for x
    x = 363,373,316,462,208,256/862,974,388.90
  6. Step 6: Final answer
    x = 421,070,800.17

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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.