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Finding the Fourth Proportional to 519,395,004,286.40, 779,092,506,429.60 and 519,395,004,286.40

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Solution

The fourth proportional to 519,395,004,286.40, 779,092,506,429.60 and 519,395,004,286.40 is: 779,092,506,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,395,004,286.40 : 779,092,506,429.60 = 519,395,004,286.40 : x
  2. Step 2: Convert to fraction form
    519,395,004,286.40/779,092,506,429.60 = 519,395,004,286.40/x
  3. Step 3: Cross multiply
    519,395,004,286.40x = 779,092,506,429.60 × 519,395,004,286.40
  4. Step 4: Simplify right side
    519,395,004,286.40x = 404,656,755,716,504,191,762,432
  5. Step 5: Solve for x
    x = 404,656,755,716,504,191,762,432/519,395,004,286.40
  6. Step 6: Final answer
    x = 779,092,506,429.60

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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.