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Finding the Fourth Proportional to 433,748,735,999.90, 650,623,103,999.85 and 433,748,735,999.90

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Solution

The fourth proportional to 433,748,735,999.90, 650,623,103,999.85 and 433,748,735,999.90 is: 650,623,103,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,748,735,999.90 : 650,623,103,999.85 = 433,748,735,999.90 : x
  2. Step 2: Convert to fraction form
    433,748,735,999.90/650,623,103,999.85 = 433,748,735,999.90/x
  3. Step 3: Cross multiply
    433,748,735,999.90x = 650,623,103,999.85 × 433,748,735,999.90
  4. Step 4: Simplify right side
    433,748,735,999.90x = 282,206,948,972,266,413,621,248
  5. Step 5: Solve for x
    x = 282,206,948,972,266,413,621,248/433,748,735,999.90
  6. Step 6: Final answer
    x = 650,623,103,999.85

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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.