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Finding the Fourth Proportional to 516,064,081.60, 774,096,122.40 and 516,064,081.60

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Solution

The fourth proportional to 516,064,081.60, 774,096,122.40 and 516,064,081.60 is: 774,096,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,064,081.60 : 774,096,122.40 = 516,064,081.60 : x
  2. Step 2: Convert to fraction form
    516,064,081.60/774,096,122.40 = 516,064,081.60/x
  3. Step 3: Cross multiply
    516,064,081.60x = 774,096,122.40 × 516,064,081.60
  4. Step 4: Simplify right side
    516,064,081.60x = 399,483,204,476,477,184
  5. Step 5: Solve for x
    x = 399,483,204,476,477,184/516,064,081.60
  6. Step 6: Final answer
    x = 774,096,122.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.