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Finding the Fourth Proportional to 4,784,173,359.90, 7,176,260,039.85 and 4,784,173,359.90

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Solution

The fourth proportional to 4,784,173,359.90, 7,176,260,039.85 and 4,784,173,359.90 is: 7,176,260,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784,173,359.90 : 7,176,260,039.85 = 4,784,173,359.90 : x
  2. Step 2: Convert to fraction form
    4,784,173,359.90/7,176,260,039.85 = 4,784,173,359.90/x
  3. Step 3: Cross multiply
    4,784,173,359.90x = 7,176,260,039.85 × 4,784,173,359.90
  4. Step 4: Simplify right side
    4,784,173,359.90x = 34,332,472,106,365,280,256
  5. Step 5: Solve for x
    x = 34,332,472,106,365,280,256/4,784,173,359.90
  6. Step 6: Final answer
    x = 7,176,260,039.85

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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.