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Finding the Fourth Proportional to 106,013,206.40, 159,019,809.60 and 106,013,206.40

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Solution

The fourth proportional to 106,013,206.40, 159,019,809.60 and 106,013,206.40 is: 159,019,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,013,206.40 : 159,019,809.60 = 106,013,206.40 : x
  2. Step 2: Convert to fraction form
    106,013,206.40/159,019,809.60 = 106,013,206.40/x
  3. Step 3: Cross multiply
    106,013,206.40x = 159,019,809.60 × 106,013,206.40
  4. Step 4: Simplify right side
    106,013,206.40x = 16,858,199,896,813,502
  5. Step 5: Solve for x
    x = 16,858,199,896,813,502/106,013,206.40
  6. Step 6: Final answer
    x = 159,019,809.60

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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.