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Finding the Fourth Proportional to 976,784,406.75, 1,347,810,741.59 and 580,297,206.24

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Solution

The fourth proportional to 976,784,406.75, 1,347,810,741.59 and 580,297,206.24 is: 800,719,997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,784,406.75 : 1,347,810,741.59 = 580,297,206.24 : x
  2. Step 2: Convert to fraction form
    976,784,406.75/1,347,810,741.59 = 580,297,206.24/x
  3. Step 3: Cross multiply
    976,784,406.75x = 1,347,810,741.59 × 580,297,206.24
  4. Step 4: Simplify right side
    976,784,406.75x = 782,130,807,882,038,144
  5. Step 5: Solve for x
    x = 782,130,807,882,038,144/976,784,406.75
  6. Step 6: Final answer
    x = 800,719,997.65

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.