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Finding the Fourth Proportional to 295,042,705.20, 442,564,057.80 and 295,042,705.20

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Solution

The fourth proportional to 295,042,705.20, 442,564,057.80 and 295,042,705.20 is: 442,564,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,042,705.20 : 442,564,057.80 = 295,042,705.20 : x
  2. Step 2: Convert to fraction form
    295,042,705.20/442,564,057.80 = 295,042,705.20/x
  3. Step 3: Cross multiply
    295,042,705.20x = 442,564,057.80 × 295,042,705.20
  4. Step 4: Simplify right side
    295,042,705.20x = 130,575,296,837,601,152
  5. Step 5: Solve for x
    x = 130,575,296,837,601,152/295,042,705.20
  6. Step 6: Final answer
    x = 442,564,057.80

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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.