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Finding the Fourth Proportional to 868,841,607.40, 1,303,262,411.10 and 868,841,607.40

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Solution

The fourth proportional to 868,841,607.40, 1,303,262,411.10 and 868,841,607.40 is: 1,303,262,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,841,607.40 : 1,303,262,411.10 = 868,841,607.40 : x
  2. Step 2: Convert to fraction form
    868,841,607.40/1,303,262,411.10 = 868,841,607.40/x
  3. Step 3: Cross multiply
    868,841,607.40x = 1,303,262,411.10 × 868,841,607.40
  4. Step 4: Simplify right side
    868,841,607.40x = 1,132,328,608,124,123,520
  5. Step 5: Solve for x
    x = 1,132,328,608,124,123,520/868,841,607.40
  6. Step 6: Final answer
    x = 1,303,262,411.10

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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.