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Finding the Fourth Proportional to 174,750,048,304.80, 262,125,072,457.20 and 174,750,048,304.80

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Solution

The fourth proportional to 174,750,048,304.80, 262,125,072,457.20 and 174,750,048,304.80 is: 262,125,072,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,750,048,304.80 : 262,125,072,457.20 = 174,750,048,304.80 : x
  2. Step 2: Convert to fraction form
    174,750,048,304.80/262,125,072,457.20 = 174,750,048,304.80/x
  3. Step 3: Cross multiply
    174,750,048,304.80x = 262,125,072,457.20 × 174,750,048,304.80
  4. Step 4: Simplify right side
    174,750,048,304.80x = 45,806,369,073,794,901,868,544
  5. Step 5: Solve for x
    x = 45,806,369,073,794,901,868,544/174,750,048,304.80
  6. Step 6: Final answer
    x = 262,125,072,457.20

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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.