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Finding the Fourth Proportional to 908,292,446,999.90, 1,362,438,670,499.90 and 908,292,446,999.90

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Solution

The fourth proportional to 908,292,446,999.90, 1,362,438,670,499.90 and 908,292,446,999.90 is: 1,362,438,670,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,292,446,999.90 : 1,362,438,670,499.90 = 908,292,446,999.90 : x
  2. Step 2: Convert to fraction form
    908,292,446,999.90/1,362,438,670,499.90 = 908,292,446,999.90/x
  3. Step 3: Cross multiply
    908,292,446,999.90x = 1,362,438,670,499.90 × 908,292,446,999.90
  4. Step 4: Simplify right side
    908,292,446,999.90x = 1,237,492,753,915,644,695,543,808
  5. Step 5: Solve for x
    x = 1,237,492,753,915,644,695,543,808/908,292,446,999.90
  6. Step 6: Final answer
    x = 1,362,438,670,499.90

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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.