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Finding the Fourth Proportional to 488,358,200.90, 732,537,301.35 and 333,390,005.30

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Solution

The fourth proportional to 488,358,200.90, 732,537,301.35 and 333,390,005.30 is: 500,085,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,358,200.90 : 732,537,301.35 = 333,390,005.30 : x
  2. Step 2: Convert to fraction form
    488,358,200.90/732,537,301.35 = 333,390,005.30/x
  3. Step 3: Cross multiply
    488,358,200.90x = 732,537,301.35 × 333,390,005.30
  4. Step 4: Simplify right side
    488,358,200.90x = 244,220,614,779,524,224
  5. Step 5: Solve for x
    x = 244,220,614,779,524,224/488,358,200.90
  6. Step 6: Final answer
    x = 500,085,007.95

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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.