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Finding the Fourth Proportional to 535,038,086.26, 738,355,174.32 and 300,101,302.54

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Solution

The fourth proportional to 535,038,086.26, 738,355,174.32 and 300,101,302.54 is: 414,141,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,038,086.26 : 738,355,174.32 = 300,101,302.54 : x
  2. Step 2: Convert to fraction form
    535,038,086.26/738,355,174.32 = 300,101,302.54/x
  3. Step 3: Cross multiply
    535,038,086.26x = 738,355,174.32 × 300,101,302.54
  4. Step 4: Simplify right side
    535,038,086.26x = 221,581,349,550,580,800
  5. Step 5: Solve for x
    x = 221,581,349,550,580,800/535,038,086.26
  6. Step 6: Final answer
    x = 414,141,264.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.