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Finding the Fourth Proportional to 465,115,748, 641,874,270.56 and 266,913,498.40

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Solution

The fourth proportional to 465,115,748, 641,874,270.56 and 266,913,498.40 is: 368,348,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,115,748 : 641,874,270.56 = 266,913,498.40 : x
  2. Step 2: Convert to fraction form
    465,115,748/641,874,270.56 = 266,913,498.40/x
  3. Step 3: Cross multiply
    465,115,748x = 641,874,270.56 × 266,913,498.40
  4. Step 4: Simplify right side
    465,115,748x = 171,324,907,088,117,728
  5. Step 5: Solve for x
    x = 171,324,907,088,117,728/465,115,748
  6. Step 6: Final answer
    x = 368,348,970.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.