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Finding the Fourth Proportional to 867,199,990.98, 1,196,737,136.25 and 470,722,723.14

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Solution

The fourth proportional to 867,199,990.98, 1,196,737,136.25 and 470,722,723.14 is: 649,597,981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,199,990.98 : 1,196,737,136.25 = 470,722,723.14 : x
  2. Step 2: Convert to fraction form
    867,199,990.98/1,196,737,136.25 = 470,722,723.14/x
  3. Step 3: Cross multiply
    867,199,990.98x = 1,196,737,136.25 × 470,722,723.14
  4. Step 4: Simplify right side
    867,199,990.98x = 563,331,363,658,365,184
  5. Step 5: Solve for x
    x = 563,331,363,658,365,184/867,199,990.98
  6. Step 6: Final answer
    x = 649,597,981.45

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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.