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Finding the Fourth Proportional to 586,787,901.20, 879,174,082.20 and 310,029,174.80

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Solution

The fourth proportional to 586,787,901.20, 879,174,082.20 and 310,029,174.80 is: 464,511,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,787,901.20 : 879,174,082.20 = 310,029,174.80 : x
  2. Step 2: Convert to fraction form
    586,787,901.20/879,174,082.20 = 310,029,174.80/x
  3. Step 3: Cross multiply
    586,787,901.20x = 879,174,082.20 × 310,029,174.80
  4. Step 4: Simplify right side
    586,787,901.20x = 272,569,615,210,013,408
  5. Step 5: Solve for x
    x = 272,569,615,210,013,408/586,787,901.20
  6. Step 6: Final answer
    x = 464,511,307.50

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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.