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Finding the Fourth Proportional to 77,262,653,965.70, 115,893,980,948.55 and 77,262,653,965.70

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Solution

The fourth proportional to 77,262,653,965.70, 115,893,980,948.55 and 77,262,653,965.70 is: 115,893,980,948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,262,653,965.70 : 115,893,980,948.55 = 77,262,653,965.70 : x
  2. Step 2: Convert to fraction form
    77,262,653,965.70/115,893,980,948.55 = 77,262,653,965.70/x
  3. Step 3: Cross multiply
    77,262,653,965.70x = 115,893,980,948.55 × 77,262,653,965.70
  4. Step 4: Simplify right side
    77,262,653,965.70x = 8,954,276,546,735,246,409,728
  5. Step 5: Solve for x
    x = 8,954,276,546,735,246,409,728/77,262,653,965.70
  6. Step 6: Final answer
    x = 115,893,980,948.55

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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.