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Finding the Fourth Proportional to 412,920,872,809.95, 619,381,309,214.93 and 412,920,872,809.95

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Solution

The fourth proportional to 412,920,872,809.95, 619,381,309,214.93 and 412,920,872,809.95 is: 619,381,309,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,920,872,809.95 : 619,381,309,214.93 = 412,920,872,809.95 : x
  2. Step 2: Convert to fraction form
    412,920,872,809.95/619,381,309,214.93 = 412,920,872,809.95/x
  3. Step 3: Cross multiply
    412,920,872,809.95x = 619,381,309,214.93 × 412,920,872,809.95
  4. Step 4: Simplify right side
    412,920,872,809.95x = 255,755,470,803,198,449,549,312
  5. Step 5: Solve for x
    x = 255,755,470,803,198,449,549,312/412,920,872,809.95
  6. Step 6: Final answer
    x = 619,381,309,214.93

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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.