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Finding the Fourth Proportional to 352,109,187,079.20, 528,163,780,618.80 and 352,109,187,079.20

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Solution

The fourth proportional to 352,109,187,079.20, 528,163,780,618.80 and 352,109,187,079.20 is: 528,163,780,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,109,187,079.20 : 528,163,780,618.80 = 352,109,187,079.20 : x
  2. Step 2: Convert to fraction form
    352,109,187,079.20/528,163,780,618.80 = 352,109,187,079.20/x
  3. Step 3: Cross multiply
    352,109,187,079.20x = 528,163,780,618.80 × 352,109,187,079.20
  4. Step 4: Simplify right side
    352,109,187,079.20x = 185,971,319,438,362,594,508,800
  5. Step 5: Solve for x
    x = 185,971,319,438,362,594,508,800/352,109,187,079.20
  6. Step 6: Final answer
    x = 528,163,780,618.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.