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Finding the Fourth Proportional to 534,284,939,908.10, 801,427,409,862.15 and 534,284,939,908.10

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Solution

The fourth proportional to 534,284,939,908.10, 801,427,409,862.15 and 534,284,939,908.10 is: 801,427,409,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,284,939,908.10 : 801,427,409,862.15 = 534,284,939,908.10 : x
  2. Step 2: Convert to fraction form
    534,284,939,908.10/801,427,409,862.15 = 534,284,939,908.10/x
  3. Step 3: Cross multiply
    534,284,939,908.10x = 801,427,409,862.15 × 534,284,939,908.10
  4. Step 4: Simplify right side
    534,284,939,908.10x = 428,190,595,518,903,032,479,744
  5. Step 5: Solve for x
    x = 428,190,595,518,903,032,479,744/534,284,939,908.10
  6. Step 6: Final answer
    x = 801,427,409,862.15

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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.