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Finding the Fourth Proportional to 410,059,584,035.70, 615,089,376,053.55 and 410,059,584,035.70

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Solution

The fourth proportional to 410,059,584,035.70, 615,089,376,053.55 and 410,059,584,035.70 is: 615,089,376,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,059,584,035.70 : 615,089,376,053.55 = 410,059,584,035.70 : x
  2. Step 2: Convert to fraction form
    410,059,584,035.70/615,089,376,053.55 = 410,059,584,035.70/x
  3. Step 3: Cross multiply
    410,059,584,035.70x = 615,089,376,053.55 × 410,059,584,035.70
  4. Step 4: Simplify right side
    410,059,584,035.70x = 252,223,293,689,297,006,231,552
  5. Step 5: Solve for x
    x = 252,223,293,689,297,006,231,552/410,059,584,035.70
  6. Step 6: Final answer
    x = 615,089,376,053.55

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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.