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Finding the Fourth Proportional to 27,224,547.70, 38,142,710.30 and 27,224,547.70

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Solution

The fourth proportional to 27,224,547.70, 38,142,710.30 and 27,224,547.70 is: 38,142,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224,547.70 : 38,142,710.30 = 27,224,547.70 : x
  2. Step 2: Convert to fraction form
    27,224,547.70/38,142,710.30 = 27,224,547.70/x
  3. Step 3: Cross multiply
    27,224,547.70x = 38,142,710.30 × 27,224,547.70
  4. Step 4: Simplify right side
    27,224,547.70x = 1,038,418,035,969,631.25
  5. Step 5: Solve for x
    x = 1,038,418,035,969,631.25/27,224,547.70
  6. Step 6: Final answer
    x = 38,142,710.30

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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.