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Finding the Fourth Proportional to 541,337,494,539.40, 812,006,241,809.10 and 541,337,494,539.40

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Solution

The fourth proportional to 541,337,494,539.40, 812,006,241,809.10 and 541,337,494,539.40 is: 812,006,241,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,337,494,539.40 : 812,006,241,809.10 = 541,337,494,539.40 : x
  2. Step 2: Convert to fraction form
    541,337,494,539.40/812,006,241,809.10 = 541,337,494,539.40/x
  3. Step 3: Cross multiply
    541,337,494,539.40x = 812,006,241,809.10 × 541,337,494,539.40
  4. Step 4: Simplify right side
    541,337,494,539.40x = 439,569,424,491,292,410,249,216
  5. Step 5: Solve for x
    x = 439,569,424,491,292,410,249,216/541,337,494,539.40
  6. Step 6: Final answer
    x = 812,006,241,809.10

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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.