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Finding the Fourth Proportional to 4,648,156,998.30, 6,972,235,497.45 and 4,648,156,998.30

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Solution

The fourth proportional to 4,648,156,998.30, 6,972,235,497.45 and 4,648,156,998.30 is: 6,972,235,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648,156,998.30 : 6,972,235,497.45 = 4,648,156,998.30 : x
  2. Step 2: Convert to fraction form
    4,648,156,998.30/6,972,235,497.45 = 4,648,156,998.30/x
  3. Step 3: Cross multiply
    4,648,156,998.30x = 6,972,235,497.45 × 4,648,156,998.30
  4. Step 4: Simplify right side
    4,648,156,998.30x = 32,408,045,221,267,898,368
  5. Step 5: Solve for x
    x = 32,408,045,221,267,898,368/4,648,156,998.30
  6. Step 6: Final answer
    x = 6,972,235,497.45

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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.