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Finding the Fourth Proportional to 2,877,289,807.60, 4,315,934,711.40 and 2,877,289,807.60

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Solution

The fourth proportional to 2,877,289,807.60, 4,315,934,711.40 and 2,877,289,807.60 is: 4,315,934,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,289,807.60 : 4,315,934,711.40 = 2,877,289,807.60 : x
  2. Step 2: Convert to fraction form
    2,877,289,807.60/4,315,934,711.40 = 2,877,289,807.60/x
  3. Step 3: Cross multiply
    2,877,289,807.60x = 4,315,934,711.40 × 2,877,289,807.60
  4. Step 4: Simplify right side
    2,877,289,807.60x = 12,418,194,955,378,266,112
  5. Step 5: Solve for x
    x = 12,418,194,955,378,266,112/2,877,289,807.60
  6. Step 6: Final answer
    x = 4,315,934,711.40

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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.