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Finding the Fourth Proportional to 652,893,002.70, 978,064,045.65 and 393,337,218.30

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Solution

The fourth proportional to 652,893,002.70, 978,064,045.65 and 393,337,218.30 is: 589,237,423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,893,002.70 : 978,064,045.65 = 393,337,218.30 : x
  2. Step 2: Convert to fraction form
    652,893,002.70/978,064,045.65 = 393,337,218.30/x
  3. Step 3: Cross multiply
    652,893,002.70x = 978,064,045.65 × 393,337,218.30
  4. Step 4: Simplify right side
    652,893,002.70x = 384,708,991,035,215,232
  5. Step 5: Solve for x
    x = 384,708,991,035,215,232/652,893,002.70
  6. Step 6: Final answer
    x = 589,237,423.96

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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.