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Finding the Fourth Proportional to 85,418,496,135.40, 128,127,744,203.10 and 85,418,496,135.40

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Solution

The fourth proportional to 85,418,496,135.40, 128,127,744,203.10 and 85,418,496,135.40 is: 128,127,744,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,418,496,135.40 : 128,127,744,203.10 = 85,418,496,135.40 : x
  2. Step 2: Convert to fraction form
    85,418,496,135.40/128,127,744,203.10 = 85,418,496,135.40/x
  3. Step 3: Cross multiply
    85,418,496,135.40x = 128,127,744,203.10 × 85,418,496,135.40
  4. Step 4: Simplify right side
    85,418,496,135.40x = 10,944,479,223,050,015,866,880
  5. Step 5: Solve for x
    x = 10,944,479,223,050,015,866,880/85,418,496,135.40
  6. Step 6: Final answer
    x = 128,127,744,203.10

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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.