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Finding the Fourth Proportional to 5,668,716,810.30, 8,487,769,714.65 and 5,668,716,810.30

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Solution

The fourth proportional to 5,668,716,810.30, 8,487,769,714.65 and 5,668,716,810.30 is: 8,487,769,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668,716,810.30 : 8,487,769,714.65 = 5,668,716,810.30 : x
  2. Step 2: Convert to fraction form
    5,668,716,810.30/8,487,769,714.65 = 5,668,716,810.30/x
  3. Step 3: Cross multiply
    5,668,716,810.30x = 8,487,769,714.65 × 5,668,716,810.30
  4. Step 4: Simplify right side
    5,668,716,810.30x = 48,114,762,863,391,686,656
  5. Step 5: Solve for x
    x = 48,114,762,863,391,686,656/5,668,716,810.30
  6. Step 6: Final answer
    x = 8,487,769,714.65

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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.