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Finding the Fourth Proportional to 577,024,469.60, 866,103,574.80 and 286,219,954.40

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Solution

The fourth proportional to 577,024,469.60, 866,103,574.80 and 286,219,954.40 is: 429,611,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,024,469.60 : 866,103,574.80 = 286,219,954.40 : x
  2. Step 2: Convert to fraction form
    577,024,469.60/866,103,574.80 = 286,219,954.40/x
  3. Step 3: Cross multiply
    577,024,469.60x = 866,103,574.80 × 286,219,954.40
  4. Step 4: Simplify right side
    577,024,469.60x = 247,896,125,684,932,960
  5. Step 5: Solve for x
    x = 247,896,125,684,932,960/577,024,469.60
  6. Step 6: Final answer
    x = 429,611,114.86

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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.