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Finding the Fourth Proportional to 284,338,032.30, 426,507,048.45 and 284,338,032.30

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Solution

The fourth proportional to 284,338,032.30, 426,507,048.45 and 284,338,032.30 is: 426,507,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,338,032.30 : 426,507,048.45 = 284,338,032.30 : x
  2. Step 2: Convert to fraction form
    284,338,032.30/426,507,048.45 = 284,338,032.30/x
  3. Step 3: Cross multiply
    284,338,032.30x = 426,507,048.45 × 284,338,032.30
  4. Step 4: Simplify right side
    284,338,032.30x = 121,272,174,918,353,760
  5. Step 5: Solve for x
    x = 121,272,174,918,353,760/284,338,032.30
  6. Step 6: Final answer
    x = 426,507,048.45

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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.