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Finding the Fourth Proportional to 51,719,176,689.76, 77,578,765,034.63 and 51,719,176,689.76

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Solution

The fourth proportional to 51,719,176,689.76, 77,578,765,034.63 and 51,719,176,689.76 is: 77,578,765,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,719,176,689.76 : 77,578,765,034.63 = 51,719,176,689.76 : x
  2. Step 2: Convert to fraction form
    51,719,176,689.76/77,578,765,034.63 = 51,719,176,689.76/x
  3. Step 3: Cross multiply
    51,719,176,689.76x = 77,578,765,034.63 × 51,719,176,689.76
  4. Step 4: Simplify right side
    51,719,176,689.76x = 4,012,309,856,199,016,185,856
  5. Step 5: Solve for x
    x = 4,012,309,856,199,016,185,856/51,719,176,689.76
  6. Step 6: Final answer
    x = 77,578,765,034.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.