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Finding the Fourth Proportional to 354,357,042.30, 531,535,563.45 and 354,357,042.30

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Solution

The fourth proportional to 354,357,042.30, 531,535,563.45 and 354,357,042.30 is: 531,535,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,357,042.30 : 531,535,563.45 = 354,357,042.30 : x
  2. Step 2: Convert to fraction form
    354,357,042.30/531,535,563.45 = 354,357,042.30/x
  3. Step 3: Cross multiply
    354,357,042.30x = 531,535,563.45 × 354,357,042.30
  4. Step 4: Simplify right side
    354,357,042.30x = 188,353,370,141,405,984
  5. Step 5: Solve for x
    x = 188,353,370,141,405,984/354,357,042.30
  6. Step 6: Final answer
    x = 531,535,563.45

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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.