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Finding the Fourth Proportional to 10,243,585,964.90, 14,379,718,703.50 and 10,243,585,964.90

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Solution

The fourth proportional to 10,243,585,964.90, 14,379,718,703.50 and 10,243,585,964.90 is: 14,379,718,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243,585,964.90 : 14,379,718,703.50 = 10,243,585,964.90 : x
  2. Step 2: Convert to fraction form
    10,243,585,964.90/14,379,718,703.50 = 10,243,585,964.90/x
  3. Step 3: Cross multiply
    10,243,585,964.90x = 14,379,718,703.50 × 10,243,585,964.90
  4. Step 4: Simplify right side
    10,243,585,964.90x = 147,299,884,690,382,618,624
  5. Step 5: Solve for x
    x = 147,299,884,690,382,618,624/10,243,585,964.90
  6. Step 6: Final answer
    x = 14,379,718,703.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.