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Finding the Fourth Proportional to 6,209,489,547,601.80, 9,314,234,321,402.40 and 6,209,489,547,601.80

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Solution

The fourth proportional to 6,209,489,547,601.80, 9,314,234,321,402.40 and 6,209,489,547,601.80 is: 9,314,234,321,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209,489,547,601.80 : 9,314,234,321,402.40 = 6,209,489,547,601.80 : x
  2. Step 2: Convert to fraction form
    6,209,489,547,601.80/9,314,234,321,402.40 = 6,209,489,547,601.80/x
  3. Step 3: Cross multiply
    6,209,489,547,601.80x = 9,314,234,321,402.40 × 6,209,489,547,601.80
  4. Step 4: Simplify right side
    6,209,489,547,601.80x = 57,836,640,662,662,144,659,030,016
  5. Step 5: Solve for x
    x = 57,836,640,662,662,144,659,030,016/6,209,489,547,601.80
  6. Step 6: Final answer
    x = 9,314,234,321,402.40

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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.