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Finding the Fourth Proportional to 152,888,552.10, 214,648,634.70 and 152,888,552.10

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Solution

The fourth proportional to 152,888,552.10, 214,648,634.70 and 152,888,552.10 is: 214,648,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,888,552.10 : 214,648,634.70 = 152,888,552.10 : x
  2. Step 2: Convert to fraction form
    152,888,552.10/214,648,634.70 = 152,888,552.10/x
  3. Step 3: Cross multiply
    152,888,552.10x = 214,648,634.70 × 152,888,552.10
  4. Step 4: Simplify right side
    152,888,552.10x = 32,817,318,969,524,816
  5. Step 5: Solve for x
    x = 32,817,318,969,524,816/152,888,552.10
  6. Step 6: Final answer
    x = 214,648,634.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.