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Finding the Fourth Proportional to 5,314,254,000.10, 7,971,381,000.15 and 5,314,254,000.10

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Solution

The fourth proportional to 5,314,254,000.10, 7,971,381,000.15 and 5,314,254,000.10 is: 7,971,381,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314,254,000.10 : 7,971,381,000.15 = 5,314,254,000.10 : x
  2. Step 2: Convert to fraction form
    5,314,254,000.10/7,971,381,000.15 = 5,314,254,000.10/x
  3. Step 3: Cross multiply
    5,314,254,000.10x = 7,971,381,000.15 × 5,314,254,000.10
  4. Step 4: Simplify right side
    5,314,254,000.10x = 42,361,943,366,368,280,576
  5. Step 5: Solve for x
    x = 42,361,943,366,368,280,576/5,314,254,000.10
  6. Step 6: Final answer
    x = 7,971,381,000.15

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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.