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Finding the Fourth Proportional to 213,894,934.10, 320,842,401.15 and 99,103,678.10

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Solution

The fourth proportional to 213,894,934.10, 320,842,401.15 and 99,103,678.10 is: 148,655,517.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,894,934.10 : 320,842,401.15 = 99,103,678.10 : x
  2. Step 2: Convert to fraction form
    213,894,934.10/320,842,401.15 = 99,103,678.10/x
  3. Step 3: Cross multiply
    213,894,934.10x = 320,842,401.15 × 99,103,678.10
  4. Step 4: Simplify right side
    213,894,934.10x = 31,796,662,044,400,664
  5. Step 5: Solve for x
    x = 31,796,662,044,400,664/213,894,934.10
  6. Step 6: Final answer
    x = 148,655,517.15

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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.