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Finding the Fourth Proportional to 475,578,000.30, 713,367,000.45 and 217,297,674.30

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Solution

The fourth proportional to 475,578,000.30, 713,367,000.45 and 217,297,674.30 is: 325,946,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,578,000.30 : 713,367,000.45 = 217,297,674.30 : x
  2. Step 2: Convert to fraction form
    475,578,000.30/713,367,000.45 = 217,297,674.30/x
  3. Step 3: Cross multiply
    475,578,000.30x = 713,367,000.45 × 217,297,674.30
  4. Step 4: Simplify right side
    475,578,000.30x = 155,012,990,120,152,064
  5. Step 5: Solve for x
    x = 155,012,990,120,152,064/475,578,000.30
  6. Step 6: Final answer
    x = 325,946,511.45

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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.