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Finding the Fourth Proportional to 10,420,134,740.40, 14,626,886,989.20 and 10,420,134,740.40

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Solution

The fourth proportional to 10,420,134,740.40, 14,626,886,989.20 and 10,420,134,740.40 is: 14,626,886,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420,134,740.40 : 14,626,886,989.20 = 10,420,134,740.40 : x
  2. Step 2: Convert to fraction form
    10,420,134,740.40/14,626,886,989.20 = 10,420,134,740.40/x
  3. Step 3: Cross multiply
    10,420,134,740.40x = 14,626,886,989.20 × 10,420,134,740.40
  4. Step 4: Simplify right side
    10,420,134,740.40x = 152,414,133,260,067,667,968
  5. Step 5: Solve for x
    x = 152,414,133,260,067,667,968/10,420,134,740.40
  6. Step 6: Final answer
    x = 14,626,886,989.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.