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Finding the Fourth Proportional to 262,125,072,032.70, 393,187,608,052.65 and 262,125,072,032.70

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Solution

The fourth proportional to 262,125,072,032.70, 393,187,608,052.65 and 262,125,072,032.70 is: 393,187,608,052.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,125,072,032.70 : 393,187,608,052.65 = 262,125,072,032.70 : x
  2. Step 2: Convert to fraction form
    262,125,072,032.70/393,187,608,052.65 = 262,125,072,032.70/x
  3. Step 3: Cross multiply
    262,125,072,032.70x = 393,187,608,052.65 × 262,125,072,032.70
  4. Step 4: Simplify right side
    262,125,072,032.70x = 103,064,330,083,165,913,743,360
  5. Step 5: Solve for x
    x = 103,064,330,083,165,913,743,360/262,125,072,032.70
  6. Step 6: Final answer
    x = 393,187,608,052.65

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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.