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Finding the Fourth Proportional to 153,594,978,401.15, 211,959,508,912.95 and 85,006,524,689.57

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Solution

The fourth proportional to 153,594,978,401.15, 211,959,508,912.95 and 85,006,524,689.57 is: 117,308,139,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,594,978,401.15 : 211,959,508,912.95 = 85,006,524,689.57 : x
  2. Step 2: Convert to fraction form
    153,594,978,401.15/211,959,508,912.95 = 85,006,524,689.57/x
  3. Step 3: Cross multiply
    153,594,978,401.15x = 211,959,508,912.95 × 85,006,524,689.57
  4. Step 4: Simplify right side
    153,594,978,401.15x = 18,017,941,227,597,820,067,840
  5. Step 5: Solve for x
    x = 18,017,941,227,597,820,067,840/153,594,978,401.15
  6. Step 6: Final answer
    x = 117,308,139,987.10

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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.