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Finding the Fourth Proportional to 3,102,649,276.80, 4,653,973,915.20 and 3,102,649,276.80

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Solution

The fourth proportional to 3,102,649,276.80, 4,653,973,915.20 and 3,102,649,276.80 is: 4,653,973,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,649,276.80 : 4,653,973,915.20 = 3,102,649,276.80 : x
  2. Step 2: Convert to fraction form
    3,102,649,276.80/4,653,973,915.20 = 3,102,649,276.80/x
  3. Step 3: Cross multiply
    3,102,649,276.80x = 4,653,973,915.20 × 3,102,649,276.80
  4. Step 4: Simplify right side
    3,102,649,276.80x = 14,439,648,802,241,345,536
  5. Step 5: Solve for x
    x = 14,439,648,802,241,345,536/3,102,649,276.80
  6. Step 6: Final answer
    x = 4,653,973,915.20

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Double scale
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1.5x scale

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.