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Finding the Fourth Proportional to 10,178,415,712.80, 15,246,124,484.40 and 10,178,415,712.80

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Solution

The fourth proportional to 10,178,415,712.80, 15,246,124,484.40 and 10,178,415,712.80 is: 15,246,124,484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178,415,712.80 : 15,246,124,484.40 = 10,178,415,712.80 : x
  2. Step 2: Convert to fraction form
    10,178,415,712.80/15,246,124,484.40 = 10,178,415,712.80/x
  3. Step 3: Cross multiply
    10,178,415,712.80x = 15,246,124,484.40 × 10,178,415,712.80
  4. Step 4: Simplify right side
    10,178,415,712.80x = 155,181,393,011,321,733,120
  5. Step 5: Solve for x
    x = 155,181,393,011,321,733,120/10,178,415,712.80
  6. Step 6: Final answer
    x = 15,246,124,484.40

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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.