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Finding the Fourth Proportional to 567,108,004.30, 849,318,313.65 and 567,108,004.30

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Solution

The fourth proportional to 567,108,004.30, 849,318,313.65 and 567,108,004.30 is: 849,318,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,108,004.30 : 849,318,313.65 = 567,108,004.30 : x
  2. Step 2: Convert to fraction form
    567,108,004.30/849,318,313.65 = 567,108,004.30/x
  3. Step 3: Cross multiply
    567,108,004.30x = 849,318,313.65 × 567,108,004.30
  4. Step 4: Simplify right side
    567,108,004.30x = 481,655,213,869,492,864
  5. Step 5: Solve for x
    x = 481,655,213,869,492,864/567,108,004.30
  6. Step 6: Final answer
    x = 849,318,313.65

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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.