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Finding the Fourth Proportional to 103,464,783,083.20, 155,197,174,624.80 and 103,464,783,083.20

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Solution

The fourth proportional to 103,464,783,083.20, 155,197,174,624.80 and 103,464,783,083.20 is: 155,197,174,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,464,783,083.20 : 155,197,174,624.80 = 103,464,783,083.20 : x
  2. Step 2: Convert to fraction form
    103,464,783,083.20/155,197,174,624.80 = 103,464,783,083.20/x
  3. Step 3: Cross multiply
    103,464,783,083.20x = 155,197,174,624.80 × 103,464,783,083.20
  4. Step 4: Simplify right side
    103,464,783,083.20x = 16,057,442,007,680,441,909,248
  5. Step 5: Solve for x
    x = 16,057,442,007,680,441,909,248/103,464,783,083.20
  6. Step 6: Final answer
    x = 155,197,174,624.80

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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.