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Finding the Fourth Proportional to 27,398,736,700.15, 41,098,105,050.23 and 27,398,736,700.15

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Solution

The fourth proportional to 27,398,736,700.15, 41,098,105,050.23 and 27,398,736,700.15 is: 41,098,105,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,398,736,700.15 : 41,098,105,050.23 = 27,398,736,700.15 : x
  2. Step 2: Convert to fraction form
    27,398,736,700.15/41,098,105,050.23 = 27,398,736,700.15/x
  3. Step 3: Cross multiply
    27,398,736,700.15x = 41,098,105,050.23 × 27,398,736,700.15
  4. Step 4: Simplify right side
    27,398,736,700.15x = 1,126,036,159,146,219,798,528
  5. Step 5: Solve for x
    x = 1,126,036,159,146,219,798,528/27,398,736,700.15
  6. Step 6: Final answer
    x = 41,098,105,050.23

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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.