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Finding the Fourth Proportional to 99,446,784,009.10, 149,170,176,013.65 and 99,446,784,009.10

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Solution

The fourth proportional to 99,446,784,009.10, 149,170,176,013.65 and 99,446,784,009.10 is: 149,170,176,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,446,784,009.10 : 149,170,176,013.65 = 99,446,784,009.10 : x
  2. Step 2: Convert to fraction form
    99,446,784,009.10/149,170,176,013.65 = 99,446,784,009.10/x
  3. Step 3: Cross multiply
    99,446,784,009.10x = 149,170,176,013.65 × 99,446,784,009.10
  4. Step 4: Simplify right side
    99,446,784,009.10x = 14,834,494,274,628,881,481,728
  5. Step 5: Solve for x
    x = 14,834,494,274,628,881,481,728/99,446,784,009.10
  6. Step 6: Final answer
    x = 149,170,176,013.65

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Double scale
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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.