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Finding the Fourth Proportional to 1,011,014,903.10, 1,516,522,354.65 and 898,144,707.90

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Solution

The fourth proportional to 1,011,014,903.10, 1,516,522,354.65 and 898,144,707.90 is: 1,347,217,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,014,903.10 : 1,516,522,354.65 = 898,144,707.90 : x
  2. Step 2: Convert to fraction form
    1,011,014,903.10/1,516,522,354.65 = 898,144,707.90/x
  3. Step 3: Cross multiply
    1,011,014,903.10x = 1,516,522,354.65 × 898,144,707.90
  4. Step 4: Simplify right side
    1,011,014,903.10x = 1,362,056,527,240,944,384
  5. Step 5: Solve for x
    x = 1,362,056,527,240,944,384/1,011,014,903.10
  6. Step 6: Final answer
    x = 1,347,217,061.85

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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.