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Finding the Fourth Proportional to 219,014,841,567.15, 328,522,262,350.72 and 219,014,841,567.15

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Solution

The fourth proportional to 219,014,841,567.15, 328,522,262,350.72 and 219,014,841,567.15 is: 328,522,262,350.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,014,841,567.15 : 328,522,262,350.72 = 219,014,841,567.15 : x
  2. Step 2: Convert to fraction form
    219,014,841,567.15/328,522,262,350.72 = 219,014,841,567.15/x
  3. Step 3: Cross multiply
    219,014,841,567.15x = 328,522,262,350.72 × 219,014,841,567.15
  4. Step 4: Simplify right side
    219,014,841,567.15x = 71,951,251,240,024,616,730,624
  5. Step 5: Solve for x
    x = 71,951,251,240,024,616,730,624/219,014,841,567.15
  6. Step 6: Final answer
    x = 328,522,262,350.72

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1.5x scale

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.