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Finding the Fourth Proportional to 472,393,669.95, 708,590,504.93 and 472,393,669.95

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Solution

The fourth proportional to 472,393,669.95, 708,590,504.93 and 472,393,669.95 is: 708,590,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,669.95 : 708,590,504.93 = 472,393,669.95 : x
  2. Step 2: Convert to fraction form
    472,393,669.95/708,590,504.93 = 472,393,669.95/x
  3. Step 3: Cross multiply
    472,393,669.95x = 708,590,504.93 × 472,393,669.95
  4. Step 4: Simplify right side
    472,393,669.95x = 334,733,669,113,244,288
  5. Step 5: Solve for x
    x = 334,733,669,113,244,288/472,393,669.95
  6. Step 6: Final answer
    x = 708,590,504.93

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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.