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Finding the Fourth Proportional to 408,605,985,005.80, 612,908,977,508.70 and 408,605,985,005.80

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Solution

The fourth proportional to 408,605,985,005.80, 612,908,977,508.70 and 408,605,985,005.80 is: 612,908,977,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,605,985,005.80 : 612,908,977,508.70 = 408,605,985,005.80 : x
  2. Step 2: Convert to fraction form
    408,605,985,005.80/612,908,977,508.70 = 408,605,985,005.80/x
  3. Step 3: Cross multiply
    408,605,985,005.80x = 612,908,977,508.70 × 408,605,985,005.80
  4. Step 4: Simplify right side
    408,605,985,005.80x = 250,438,276,473,840,063,217,664
  5. Step 5: Solve for x
    x = 250,438,276,473,840,063,217,664/408,605,985,005.80
  6. Step 6: Final answer
    x = 612,908,977,508.70

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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.