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Finding the Fourth Proportional to 684,288,329.40, 1,026,432,494.10 and 684,288,329.40

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Solution

The fourth proportional to 684,288,329.40, 1,026,432,494.10 and 684,288,329.40 is: 1,026,432,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,288,329.40 : 1,026,432,494.10 = 684,288,329.40 : x
  2. Step 2: Convert to fraction form
    684,288,329.40/1,026,432,494.10 = 684,288,329.40/x
  3. Step 3: Cross multiply
    684,288,329.40x = 1,026,432,494.10 × 684,288,329.40
  4. Step 4: Simplify right side
    684,288,329.40x = 702,375,776,629,564,288
  5. Step 5: Solve for x
    x = 702,375,776,629,564,288/684,288,329.40
  6. Step 6: Final answer
    x = 1,026,432,494.10

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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.