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Finding the Fourth Proportional to 175,104,006.40, 262,656,009.60 and 175,104,006.40

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Solution

The fourth proportional to 175,104,006.40, 262,656,009.60 and 175,104,006.40 is: 262,656,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,104,006.40 : 262,656,009.60 = 175,104,006.40 : x
  2. Step 2: Convert to fraction form
    175,104,006.40/262,656,009.60 = 175,104,006.40/x
  3. Step 3: Cross multiply
    175,104,006.40x = 262,656,009.60 × 175,104,006.40
  4. Step 4: Simplify right side
    175,104,006.40x = 45,992,119,585,996,864
  5. Step 5: Solve for x
    x = 45,992,119,585,996,864/175,104,006.40
  6. Step 6: Final answer
    x = 262,656,009.60

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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.