Home / 1,010,974,329.12-1,516,520,281.20-284,019,728.16

Finding the Fourth Proportional to 1,010,974,329.12, 1,516,520,281.20 and 284,019,728.16

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Solution

The fourth proportional to 1,010,974,329.12, 1,516,520,281.20 and 284,019,728.16 is: 426,046,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,974,329.12 : 1,516,520,281.20 = 284,019,728.16 : x
  2. Step 2: Convert to fraction form
    1,010,974,329.12/1,516,520,281.20 = 284,019,728.16/x
  3. Step 3: Cross multiply
    1,010,974,329.12x = 1,516,520,281.20 × 284,019,728.16
  4. Step 4: Simplify right side
    1,010,974,329.12x = 430,721,678,015,550,784
  5. Step 5: Solve for x
    x = 430,721,678,015,550,784/1,010,974,329.12
  6. Step 6: Final answer
    x = 426,046,107.81

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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.