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Finding the Fourth Proportional to 114,666,514.20, 160,986,616.20 and 114,666,514.20

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Solution

The fourth proportional to 114,666,514.20, 160,986,616.20 and 114,666,514.20 is: 160,986,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,666,514.20 : 160,986,616.20 = 114,666,514.20 : x
  2. Step 2: Convert to fraction form
    114,666,514.20/160,986,616.20 = 114,666,514.20/x
  3. Step 3: Cross multiply
    114,666,514.20x = 160,986,616.20 × 114,666,514.20
  4. Step 4: Simplify right side
    114,666,514.20x = 18,459,774,112,507,248
  5. Step 5: Solve for x
    x = 18,459,774,112,507,248/114,666,514.20
  6. Step 6: Final answer
    x = 160,986,616.20

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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.