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Finding the Fourth Proportional to 871,105,741.56, 1,201,868,036.28 and 518,398,978.68

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Solution

The fourth proportional to 871,105,741.56, 1,201,868,036.28 and 518,398,978.68 is: 715,237,120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,105,741.56 : 1,201,868,036.28 = 518,398,978.68 : x
  2. Step 2: Convert to fraction form
    871,105,741.56/1,201,868,036.28 = 518,398,978.68/x
  3. Step 3: Cross multiply
    871,105,741.56x = 1,201,868,036.28 × 518,398,978.68
  4. Step 4: Simplify right side
    871,105,741.56x = 623,047,162,515,689,216
  5. Step 5: Solve for x
    x = 623,047,162,515,689,216/871,105,741.56
  6. Step 6: Final answer
    x = 715,237,120.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.