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Finding the Fourth Proportional to 114,665,442.70, 160,985,116.10 and 114,665,442.70

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Solution

The fourth proportional to 114,665,442.70, 160,985,116.10 and 114,665,442.70 is: 160,985,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,665,442.70 : 160,985,116.10 = 114,665,442.70 : x
  2. Step 2: Convert to fraction form
    114,665,442.70/160,985,116.10 = 114,665,442.70/x
  3. Step 3: Cross multiply
    114,665,442.70x = 160,985,116.10 × 114,665,442.70
  4. Step 4: Simplify right side
    114,665,442.70x = 18,459,429,605,717,396
  5. Step 5: Solve for x
    x = 18,459,429,605,717,396/114,665,442.70
  6. Step 6: Final answer
    x = 160,985,116.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.