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Finding the Fourth Proportional to 32,288,026,266.80, 48,432,039,400.20 and 32,288,026,266.80

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Solution

The fourth proportional to 32,288,026,266.80, 48,432,039,400.20 and 32,288,026,266.80 is: 48,432,039,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,288,026,266.80 : 48,432,039,400.20 = 32,288,026,266.80 : x
  2. Step 2: Convert to fraction form
    32,288,026,266.80/48,432,039,400.20 = 32,288,026,266.80/x
  3. Step 3: Cross multiply
    32,288,026,266.80x = 48,432,039,400.20 × 32,288,026,266.80
  4. Step 4: Simplify right side
    32,288,026,266.80x = 1,563,774,960,308,350,091,264
  5. Step 5: Solve for x
    x = 1,563,774,960,308,350,091,264/32,288,026,266.80
  6. Step 6: Final answer
    x = 48,432,039,400.20

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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.