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Finding the Fourth Proportional to 508,896,005.10, 763,344,007.65 and 508,896,005.10

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Solution

The fourth proportional to 508,896,005.10, 763,344,007.65 and 508,896,005.10 is: 763,344,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,896,005.10 : 763,344,007.65 = 508,896,005.10 : x
  2. Step 2: Convert to fraction form
    508,896,005.10/763,344,007.65 = 508,896,005.10/x
  3. Step 3: Cross multiply
    508,896,005.10x = 763,344,007.65 × 508,896,005.10
  4. Step 4: Simplify right side
    508,896,005.10x = 388,462,716,010,108,864
  5. Step 5: Solve for x
    x = 388,462,716,010,108,864/508,896,005.10
  6. Step 6: Final answer
    x = 763,344,007.65

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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.