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Finding the Fourth Proportional to 472,393,078.45, 708,589,617.68 and 472,393,078.45

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Solution

The fourth proportional to 472,393,078.45, 708,589,617.68 and 472,393,078.45 is: 708,589,617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,078.45 : 708,589,617.68 = 472,393,078.45 : x
  2. Step 2: Convert to fraction form
    472,393,078.45/708,589,617.68 = 472,393,078.45/x
  3. Step 3: Cross multiply
    472,393,078.45x = 708,589,617.68 × 472,393,078.45
  4. Step 4: Simplify right side
    472,393,078.45x = 334,732,830,853,563,712
  5. Step 5: Solve for x
    x = 334,732,830,853,563,712/472,393,078.45
  6. Step 6: Final answer
    x = 708,589,617.68

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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.