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Finding the Fourth Proportional to 294,354,643.80, 440,575,371.90 and 294,354,643.80

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Solution

The fourth proportional to 294,354,643.80, 440,575,371.90 and 294,354,643.80 is: 440,575,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,354,643.80 : 440,575,371.90 = 294,354,643.80 : x
  2. Step 2: Convert to fraction form
    294,354,643.80/440,575,371.90 = 294,354,643.80/x
  3. Step 3: Cross multiply
    294,354,643.80x = 440,575,371.90 × 294,354,643.80
  4. Step 4: Simplify right side
    294,354,643.80x = 129,685,406,662,677,024
  5. Step 5: Solve for x
    x = 129,685,406,662,677,024/294,354,643.80
  6. Step 6: Final answer
    x = 440,575,371.90

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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.