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Finding the Fourth Proportional to 782,281,152,000.65, 1,173,421,728,000.90 and 782,281,152,000.65

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Solution

The fourth proportional to 782,281,152,000.65, 1,173,421,728,000.90 and 782,281,152,000.65 is: 1,173,421,728,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,281,152,000.65 : 1,173,421,728,000.90 = 782,281,152,000.65 : x
  2. Step 2: Convert to fraction form
    782,281,152,000.65/1,173,421,728,000.90 = 782,281,152,000.65/x
  3. Step 3: Cross multiply
    782,281,152,000.65x = 1,173,421,728,000.90 × 782,281,152,000.65
  4. Step 4: Simplify right side
    782,281,152,000.65x = 917,945,701,163,137,373,306,880
  5. Step 5: Solve for x
    x = 917,945,701,163,137,373,306,880/782,281,152,000.65
  6. Step 6: Final answer
    x = 1,173,421,728,000.90

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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.