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Finding the Fourth Proportional to 10,252,380,282.40, 14,385,984,130.40 and 10,252,380,282.40

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Solution

The fourth proportional to 10,252,380,282.40, 14,385,984,130.40 and 10,252,380,282.40 is: 14,385,984,130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252,380,282.40 : 14,385,984,130.40 = 10,252,380,282.40 : x
  2. Step 2: Convert to fraction form
    10,252,380,282.40/14,385,984,130.40 = 10,252,380,282.40/x
  3. Step 3: Cross multiply
    10,252,380,282.40x = 14,385,984,130.40 × 10,252,380,282.40
  4. Step 4: Simplify right side
    10,252,380,282.40x = 147,490,580,041,432,268,800
  5. Step 5: Solve for x
    x = 147,490,580,041,432,268,800/10,252,380,282.40
  6. Step 6: Final answer
    x = 14,385,984,130.40

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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.