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Finding the Fourth Proportional to 83,049,856.65, 124,574,784.98 and 83,049,856.65

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Solution

The fourth proportional to 83,049,856.65, 124,574,784.98 and 83,049,856.65 is: 124,574,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,049,856.65 : 124,574,784.98 = 83,049,856.65 : x
  2. Step 2: Convert to fraction form
    83,049,856.65/124,574,784.98 = 83,049,856.65/x
  3. Step 3: Cross multiply
    83,049,856.65x = 124,574,784.98 × 83,049,856.65
  4. Step 4: Simplify right side
    83,049,856.65x = 10,345,918,034,378,324
  5. Step 5: Solve for x
    x = 10,345,918,034,378,324/83,049,856.65
  6. Step 6: Final answer
    x = 124,574,784.98

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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.