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Finding the Fourth Proportional to 1,094,091,927.96, 1,509,708,531.42 and 871,637,813.40

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Solution

The fourth proportional to 1,094,091,927.96, 1,509,708,531.42 and 871,637,813.40 is: 1,202,749,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094,091,927.96 : 1,509,708,531.42 = 871,637,813.40 : x
  2. Step 2: Convert to fraction form
    1,094,091,927.96/1,509,708,531.42 = 871,637,813.40/x
  3. Step 3: Cross multiply
    1,094,091,927.96x = 1,509,708,531.42 × 871,637,813.40
  4. Step 4: Simplify right side
    1,094,091,927.96x = 1,315,919,043,198,254,080
  5. Step 5: Solve for x
    x = 1,315,919,043,198,254,080/1,094,091,927.96
  6. Step 6: Final answer
    x = 1,202,749,978.84

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Why These Related Problems?

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