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Finding the Fourth Proportional to 631,152,002.40, 946,728,003.60 and 516,360,746.40

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Solution

The fourth proportional to 631,152,002.40, 946,728,003.60 and 516,360,746.40 is: 774,541,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,152,002.40 : 946,728,003.60 = 516,360,746.40 : x
  2. Step 2: Convert to fraction form
    631,152,002.40/946,728,003.60 = 516,360,746.40/x
  3. Step 3: Cross multiply
    631,152,002.40x = 946,728,003.60 × 516,360,746.40
  4. Step 4: Simplify right side
    631,152,002.40x = 488,853,178,576,677,888
  5. Step 5: Solve for x
    x = 488,853,178,576,677,888/631,152,002.40
  6. Step 6: Final answer
    x = 774,541,119.60

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Double scale
Find fourth proportional to 631,152,003.40, 946,728,005.10 and 516,360,747.40
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.