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Finding the Fourth Proportional to 85,819,392,431.10, 128,729,088,646.65 and 85,819,392,431.10

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Solution

The fourth proportional to 85,819,392,431.10, 128,729,088,646.65 and 85,819,392,431.10 is: 128,729,088,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,819,392,431.10 : 128,729,088,646.65 = 85,819,392,431.10 : x
  2. Step 2: Convert to fraction form
    85,819,392,431.10/128,729,088,646.65 = 85,819,392,431.10/x
  3. Step 3: Cross multiply
    85,819,392,431.10x = 128,729,088,646.65 × 85,819,392,431.10
  4. Step 4: Simplify right side
    85,819,392,431.10x = 11,047,452,175,864,715,804,672
  5. Step 5: Solve for x
    x = 11,047,452,175,864,715,804,672/85,819,392,431.10
  6. Step 6: Final answer
    x = 128,729,088,646.65

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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.