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Finding the Fourth Proportional to 290,438,342.30, 406,916,010.10 and 290,438,342.30

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Solution

The fourth proportional to 290,438,342.30, 406,916,010.10 and 290,438,342.30 is: 406,916,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,438,342.30 : 406,916,010.10 = 290,438,342.30 : x
  2. Step 2: Convert to fraction form
    290,438,342.30/406,916,010.10 = 290,438,342.30/x
  3. Step 3: Cross multiply
    290,438,342.30x = 406,916,010.10 × 290,438,342.30
  4. Step 4: Simplify right side
    290,438,342.30x = 118,184,011,428,774,064
  5. Step 5: Solve for x
    x = 118,184,011,428,774,064/290,438,342.30
  6. Step 6: Final answer
    x = 406,916,010.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.