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Finding the Fourth Proportional to 51,719,176,710.37, 77,578,765,065.55 and 51,719,176,710.37

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Solution

The fourth proportional to 51,719,176,710.37, 77,578,765,065.55 and 51,719,176,710.37 is: 77,578,765,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,719,176,710.37 : 77,578,765,065.55 = 51,719,176,710.37 : x
  2. Step 2: Convert to fraction form
    51,719,176,710.37/77,578,765,065.55 = 51,719,176,710.37/x
  3. Step 3: Cross multiply
    51,719,176,710.37x = 77,578,765,065.55 × 51,719,176,710.37
  4. Step 4: Simplify right side
    51,719,176,710.37x = 4,012,309,859,397,071,273,984
  5. Step 5: Solve for x
    x = 4,012,309,859,397,071,273,984/51,719,176,710.37
  6. Step 6: Final answer
    x = 77,578,765,065.55

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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.