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Finding the Fourth Proportional to 187,488,082.65, 261,878,653.95 and 187,488,082.65

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Solution

The fourth proportional to 187,488,082.65, 261,878,653.95 and 187,488,082.65 is: 261,878,653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,488,082.65 : 261,878,653.95 = 187,488,082.65 : x
  2. Step 2: Convert to fraction form
    187,488,082.65/261,878,653.95 = 187,488,082.65/x
  3. Step 3: Cross multiply
    187,488,082.65x = 261,878,653.95 × 187,488,082.65
  4. Step 4: Simplify right side
    187,488,082.65x = 49,099,126,716,048,352
  5. Step 5: Solve for x
    x = 49,099,126,716,048,352/187,488,082.65
  6. Step 6: Final answer
    x = 261,878,653.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.