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Finding the Fourth Proportional to 708,589,205.10, 1,062,883,807.65 and 596,348,865.90

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Solution

The fourth proportional to 708,589,205.10, 1,062,883,807.65 and 596,348,865.90 is: 894,523,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,589,205.10 : 1,062,883,807.65 = 596,348,865.90 : x
  2. Step 2: Convert to fraction form
    708,589,205.10/1,062,883,807.65 = 596,348,865.90/x
  3. Step 3: Cross multiply
    708,589,205.10x = 1,062,883,807.65 × 596,348,865.90
  4. Step 4: Simplify right side
    708,589,205.10x = 633,849,553,275,551,232
  5. Step 5: Solve for x
    x = 633,849,553,275,551,232/708,589,205.10
  6. Step 6: Final answer
    x = 894,523,298.85

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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.