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Finding the Fourth Proportional to 472,393,040.70, 708,589,561.05 and 411,926,864.70

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Solution

The fourth proportional to 472,393,040.70, 708,589,561.05 and 411,926,864.70 is: 617,890,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,040.70 : 708,589,561.05 = 411,926,864.70 : x
  2. Step 2: Convert to fraction form
    472,393,040.70/708,589,561.05 = 411,926,864.70/x
  3. Step 3: Cross multiply
    472,393,040.70x = 708,589,561.05 × 411,926,864.70
  4. Step 4: Simplify right side
    472,393,040.70x = 291,887,076,242,475,712
  5. Step 5: Solve for x
    x = 291,887,076,242,475,712/472,393,040.70
  6. Step 6: Final answer
    x = 617,890,297.05

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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.