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Finding the Fourth Proportional to 17,038,437,872.80, 25,557,656,809.20 and 17,038,437,872.80

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Solution

The fourth proportional to 17,038,437,872.80, 25,557,656,809.20 and 17,038,437,872.80 is: 25,557,656,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038,437,872.80 : 25,557,656,809.20 = 17,038,437,872.80 : x
  2. Step 2: Convert to fraction form
    17,038,437,872.80/25,557,656,809.20 = 17,038,437,872.80/x
  3. Step 3: Cross multiply
    17,038,437,872.80x = 25,557,656,809.20 × 17,038,437,872.80
  4. Step 4: Simplify right side
    17,038,437,872.80x = 435,462,547,717,898,108,928
  5. Step 5: Solve for x
    x = 435,462,547,717,898,108,928/17,038,437,872.80
  6. Step 6: Final answer
    x = 25,557,656,809.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.