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Finding the Fourth Proportional to 868,861,985.10, 1,303,292,977.65 and 868,861,985.10

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Solution

The fourth proportional to 868,861,985.10, 1,303,292,977.65 and 868,861,985.10 is: 1,303,292,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,861,985.10 : 1,303,292,977.65 = 868,861,985.10 : x
  2. Step 2: Convert to fraction form
    868,861,985.10/1,303,292,977.65 = 868,861,985.10/x
  3. Step 3: Cross multiply
    868,861,985.10x = 1,303,292,977.65 × 868,861,985.10
  4. Step 4: Simplify right side
    868,861,985.10x = 1,132,381,723,727,869,056
  5. Step 5: Solve for x
    x = 1,132,381,723,727,869,056/868,861,985.10
  6. Step 6: Final answer
    x = 1,303,292,977.65

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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.