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Finding the Fourth Proportional to 34,776,046,477.70, 52,164,069,716.55 and 34,776,046,477.70

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Solution

The fourth proportional to 34,776,046,477.70, 52,164,069,716.55 and 34,776,046,477.70 is: 52,164,069,716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,776,046,477.70 : 52,164,069,716.55 = 34,776,046,477.70 : x
  2. Step 2: Convert to fraction form
    34,776,046,477.70/52,164,069,716.55 = 34,776,046,477.70/x
  3. Step 3: Cross multiply
    34,776,046,477.70x = 52,164,069,716.55 × 34,776,046,477.70
  4. Step 4: Simplify right side
    34,776,046,477.70x = 1,814,060,112,928,725,794,816
  5. Step 5: Solve for x
    x = 1,814,060,112,928,725,794,816/34,776,046,477.70
  6. Step 6: Final answer
    x = 52,164,069,716.55

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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.