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Finding the Fourth Proportional to 1,052,103,431.20, 1,476,169,666.40 and 1,052,103,431.20

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Solution

The fourth proportional to 1,052,103,431.20, 1,476,169,666.40 and 1,052,103,431.20 is: 1,476,169,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,103,431.20 : 1,476,169,666.40 = 1,052,103,431.20 : x
  2. Step 2: Convert to fraction form
    1,052,103,431.20/1,476,169,666.40 = 1,052,103,431.20/x
  3. Step 3: Cross multiply
    1,052,103,431.20x = 1,476,169,666.40 × 1,052,103,431.20
  4. Step 4: Simplify right side
    1,052,103,431.20x = 1,553,083,171,052,799,488
  5. Step 5: Solve for x
    x = 1,553,083,171,052,799,488/1,052,103,431.20
  6. Step 6: Final answer
    x = 1,476,169,666.40

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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.