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Finding the Fourth Proportional to 90,798,765,323.40, 136,198,147,985.10 and 90,798,765,323.40

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Solution

The fourth proportional to 90,798,765,323.40, 136,198,147,985.10 and 90,798,765,323.40 is: 136,198,147,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,798,765,323.40 : 136,198,147,985.10 = 90,798,765,323.40 : x
  2. Step 2: Convert to fraction form
    90,798,765,323.40/136,198,147,985.10 = 90,798,765,323.40/x
  3. Step 3: Cross multiply
    90,798,765,323.40x = 136,198,147,985.10 × 90,798,765,323.40
  4. Step 4: Simplify right side
    90,798,765,323.40x = 12,366,623,676,380,798,255,104
  5. Step 5: Solve for x
    x = 12,366,623,676,380,798,255,104/90,798,765,323.40
  6. Step 6: Final answer
    x = 136,198,147,985.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.