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Finding the Fourth Proportional to 646,534,019.40, 969,801,029.10 and 596,649,424.20

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Solution

The fourth proportional to 646,534,019.40, 969,801,029.10 and 596,649,424.20 is: 894,974,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,534,019.40 : 969,801,029.10 = 596,649,424.20 : x
  2. Step 2: Convert to fraction form
    646,534,019.40/969,801,029.10 = 596,649,424.20/x
  3. Step 3: Cross multiply
    646,534,019.40x = 969,801,029.10 × 596,649,424.20
  4. Step 4: Simplify right side
    646,534,019.40x = 578,631,225,601,082,496
  5. Step 5: Solve for x
    x = 578,631,225,601,082,496/646,534,019.40
  6. Step 6: Final answer
    x = 894,974,136.30

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Double scale
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Similar ratio
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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.