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Finding the Fourth Proportional to 697,294,703.94, 962,235,644.44 and 399,723,610.74

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Solution

The fourth proportional to 697,294,703.94, 962,235,644.44 and 399,723,610.74 is: 551,600,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,294,703.94 : 962,235,644.44 = 399,723,610.74 : x
  2. Step 2: Convert to fraction form
    697,294,703.94/962,235,644.44 = 399,723,610.74/x
  3. Step 3: Cross multiply
    697,294,703.94x = 962,235,644.44 × 399,723,610.74
  4. Step 4: Simplify right side
    697,294,703.94x = 384,628,306,178,287,616
  5. Step 5: Solve for x
    x = 384,628,306,178,287,616/697,294,703.94
  6. Step 6: Final answer
    x = 551,600,785.16

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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.