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Finding the Fourth Proportional to 314,953,669.70, 472,430,504.55 and 314,953,669.70

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Solution

The fourth proportional to 314,953,669.70, 472,430,504.55 and 314,953,669.70 is: 472,430,504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,953,669.70 : 472,430,504.55 = 314,953,669.70 : x
  2. Step 2: Convert to fraction form
    314,953,669.70/472,430,504.55 = 314,953,669.70/x
  3. Step 3: Cross multiply
    314,953,669.70x = 472,430,504.55 × 314,953,669.70
  4. Step 4: Simplify right side
    314,953,669.70x = 148,793,721,086,245,056
  5. Step 5: Solve for x
    x = 148,793,721,086,245,056/314,953,669.70
  6. Step 6: Final answer
    x = 472,430,504.55

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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.