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Finding the Fourth Proportional to 684,288,533.90, 1,026,432,800.85 and 684,288,533.90

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Solution

The fourth proportional to 684,288,533.90, 1,026,432,800.85 and 684,288,533.90 is: 1,026,432,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,288,533.90 : 1,026,432,800.85 = 684,288,533.90 : x
  2. Step 2: Convert to fraction form
    684,288,533.90/1,026,432,800.85 = 684,288,533.90/x
  3. Step 3: Cross multiply
    684,288,533.90x = 1,026,432,800.85 × 684,288,533.90
  4. Step 4: Simplify right side
    684,288,533.90x = 702,376,196,440,517,120
  5. Step 5: Solve for x
    x = 702,376,196,440,517,120/684,288,533.90
  6. Step 6: Final answer
    x = 1,026,432,800.85

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1.5x scale

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.