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Finding the Fourth Proportional to 3,079,298,411.80, 4,618,947,617.70 and 3,079,298,411.80

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Solution

The fourth proportional to 3,079,298,411.80, 4,618,947,617.70 and 3,079,298,411.80 is: 4,618,947,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079,298,411.80 : 4,618,947,617.70 = 3,079,298,411.80 : x
  2. Step 2: Convert to fraction form
    3,079,298,411.80/4,618,947,617.70 = 3,079,298,411.80/x
  3. Step 3: Cross multiply
    3,079,298,411.80x = 4,618,947,617.70 × 3,079,298,411.80
  4. Step 4: Simplify right side
    3,079,298,411.80x = 14,223,118,063,371,003,904
  5. Step 5: Solve for x
    x = 14,223,118,063,371,003,904/3,079,298,411.80
  6. Step 6: Final answer
    x = 4,618,947,617.70

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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.