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Finding the Fourth Proportional to 99,012,964,973.70, 148,519,447,460.55 and 99,012,964,973.70

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Solution

The fourth proportional to 99,012,964,973.70, 148,519,447,460.55 and 99,012,964,973.70 is: 148,519,447,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,012,964,973.70 : 148,519,447,460.55 = 99,012,964,973.70 : x
  2. Step 2: Convert to fraction form
    99,012,964,973.70/148,519,447,460.55 = 99,012,964,973.70/x
  3. Step 3: Cross multiply
    99,012,964,973.70x = 148,519,447,460.55 × 99,012,964,973.70
  4. Step 4: Simplify right side
    99,012,964,973.70x = 14,705,350,849,324,713,508,864
  5. Step 5: Solve for x
    x = 14,705,350,849,324,713,508,864/99,012,964,973.70
  6. Step 6: Final answer
    x = 148,519,447,460.55

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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.