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Finding the Fourth Proportional to 519,561,265,829.40, 779,341,898,744.10 and 519,561,265,829.40

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Solution

The fourth proportional to 519,561,265,829.40, 779,341,898,744.10 and 519,561,265,829.40 is: 779,341,898,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,561,265,829.40 : 779,341,898,744.10 = 519,561,265,829.40 : x
  2. Step 2: Convert to fraction form
    519,561,265,829.40/779,341,898,744.10 = 519,561,265,829.40/x
  3. Step 3: Cross multiply
    519,561,265,829.40x = 779,341,898,744.10 × 519,561,265,829.40
  4. Step 4: Simplify right side
    519,561,265,829.40x = 404,915,863,425,372,687,171,584
  5. Step 5: Solve for x
    x = 404,915,863,425,372,687,171,584/519,561,265,829.40
  6. Step 6: Final answer
    x = 779,341,898,744.10

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