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Finding the Fourth Proportional to 953,856,002.40, 1,430,784,003.60 and 781,527,400.80

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Solution

The fourth proportional to 953,856,002.40, 1,430,784,003.60 and 781,527,400.80 is: 1,172,291,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,856,002.40 : 1,430,784,003.60 = 781,527,400.80 : x
  2. Step 2: Convert to fraction form
    953,856,002.40/1,430,784,003.60 = 781,527,400.80/x
  3. Step 3: Cross multiply
    953,856,002.40x = 1,430,784,003.60 × 781,527,400.80
  4. Step 4: Simplify right side
    953,856,002.40x = 1,118,196,903,439,725,696
  5. Step 5: Solve for x
    x = 1,118,196,903,439,725,696/953,856,002.40
  6. Step 6: Final answer
    x = 1,172,291,101.20

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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.