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Finding the Fourth Proportional to 822,906,867,029.16, 1,234,360,300,543.80 and 822,906,867,029.16

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Solution

The fourth proportional to 822,906,867,029.16, 1,234,360,300,543.80 and 822,906,867,029.16 is: 1,234,360,300,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,906,867,029.16 : 1,234,360,300,543.80 = 822,906,867,029.16 : x
  2. Step 2: Convert to fraction form
    822,906,867,029.16/1,234,360,300,543.80 = 822,906,867,029.16/x
  3. Step 3: Cross multiply
    822,906,867,029.16x = 1,234,360,300,543.80 × 822,906,867,029.16
  4. Step 4: Simplify right side
    822,906,867,029.16x = 1,015,763,567,705,670,926,991,360
  5. Step 5: Solve for x
    x = 1,015,763,567,705,670,926,991,360/822,906,867,029.16
  6. Step 6: Final answer
    x = 1,234,360,300,543.80

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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.