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Finding the Fourth Proportional to 31,575,205.80, 47,362,808.70 and 31,575,205.80

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Solution

The fourth proportional to 31,575,205.80, 47,362,808.70 and 31,575,205.80 is: 47,362,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,575,205.80 : 47,362,808.70 = 31,575,205.80 : x
  2. Step 2: Convert to fraction form
    31,575,205.80/47,362,808.70 = 31,575,205.80/x
  3. Step 3: Cross multiply
    31,575,205.80x = 47,362,808.70 × 31,575,205.80
  4. Step 4: Simplify right side
    31,575,205.80x = 1,495,490,431,968,530.50
  5. Step 5: Solve for x
    x = 1,495,490,431,968,530.50/31,575,205.80
  6. Step 6: Final answer
    x = 47,362,808.70

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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.