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Finding the Fourth Proportional to 653,184,001.80, 979,776,002.70 and 586,671,208.20

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Solution

The fourth proportional to 653,184,001.80, 979,776,002.70 and 586,671,208.20 is: 880,006,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,184,001.80 : 979,776,002.70 = 586,671,208.20 : x
  2. Step 2: Convert to fraction form
    653,184,001.80/979,776,002.70 = 586,671,208.20/x
  3. Step 3: Cross multiply
    653,184,001.80x = 979,776,002.70 × 586,671,208.20
  4. Step 4: Simplify right side
    653,184,001.80x = 574,806,371,269,375,552
  5. Step 5: Solve for x
    x = 574,806,371,269,375,552/653,184,001.80
  6. Step 6: Final answer
    x = 880,006,812.30

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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.