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Finding the Fourth Proportional to 704,562,285.69, 972,179,203.50 and 407,232,265.50

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Solution

The fourth proportional to 704,562,285.69, 972,179,203.50 and 407,232,265.50 is: 561,913,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,562,285.69 : 972,179,203.50 = 407,232,265.50 : x
  2. Step 2: Convert to fraction form
    704,562,285.69/972,179,203.50 = 407,232,265.50/x
  3. Step 3: Cross multiply
    704,562,285.69x = 972,179,203.50 × 407,232,265.50
  4. Step 4: Simplify right side
    704,562,285.69x = 395,902,739,513,290,560
  5. Step 5: Solve for x
    x = 395,902,739,513,290,560/704,562,285.69
  6. Step 6: Final answer
    x = 561,913,045.24

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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.