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Finding the Fourth Proportional to 847,091,910.12, 1,169,015,220.98 and 470,764,358.06

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Solution

The fourth proportional to 847,091,910.12, 1,169,015,220.98 and 470,764,358.06 is: 649,670,588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,091,910.12 : 1,169,015,220.98 = 470,764,358.06 : x
  2. Step 2: Convert to fraction form
    847,091,910.12/1,169,015,220.98 = 470,764,358.06/x
  3. Step 3: Cross multiply
    847,091,910.12x = 1,169,015,220.98 × 470,764,358.06
  4. Step 4: Simplify right side
    847,091,910.12x = 550,330,700,060,561,664
  5. Step 5: Solve for x
    x = 550,330,700,060,561,664/847,091,910.12
  6. Step 6: Final answer
    x = 649,670,588.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.