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Finding the Fourth Proportional to 162,904,417,200.90, 244,356,625,801.34 and 162,904,417,200.90

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Solution

The fourth proportional to 162,904,417,200.90, 244,356,625,801.34 and 162,904,417,200.90 is: 244,356,625,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,904,417,200.90 : 244,356,625,801.34 = 162,904,417,200.90 : x
  2. Step 2: Convert to fraction form
    162,904,417,200.90/244,356,625,801.34 = 162,904,417,200.90/x
  3. Step 3: Cross multiply
    162,904,417,200.90x = 244,356,625,801.34 × 162,904,417,200.90
  4. Step 4: Simplify right side
    162,904,417,200.90x = 39,806,773,715,345,692,688,384
  5. Step 5: Solve for x
    x = 39,806,773,715,345,692,688,384/162,904,417,200.90
  6. Step 6: Final answer
    x = 244,356,625,801.34

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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.