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Finding the Fourth Proportional to 295,243,571.10, 442,865,356.65 and 295,243,571.10

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Solution

The fourth proportional to 295,243,571.10, 442,865,356.65 and 295,243,571.10 is: 442,865,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,243,571.10 : 442,865,356.65 = 295,243,571.10 : x
  2. Step 2: Convert to fraction form
    295,243,571.10/442,865,356.65 = 295,243,571.10/x
  3. Step 3: Cross multiply
    295,243,571.10x = 442,865,356.65 × 295,243,571.10
  4. Step 4: Simplify right side
    295,243,571.10x = 130,753,149,413,821,136
  5. Step 5: Solve for x
    x = 130,753,149,413,821,136/295,243,571.10
  6. Step 6: Final answer
    x = 442,865,356.65

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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.