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Finding the Fourth Proportional to 5,735,388,666.30, 8,587,777,498.65 and 5,735,388,666.30

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Solution

The fourth proportional to 5,735,388,666.30, 8,587,777,498.65 and 5,735,388,666.30 is: 8,587,777,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735,388,666.30 : 8,587,777,498.65 = 5,735,388,666.30 : x
  2. Step 2: Convert to fraction form
    5,735,388,666.30/8,587,777,498.65 = 5,735,388,666.30/x
  3. Step 3: Cross multiply
    5,735,388,666.30x = 8,587,777,498.65 × 5,735,388,666.30
  4. Step 4: Simplify right side
    5,735,388,666.30x = 49,254,241,734,463,373,312
  5. Step 5: Solve for x
    x = 49,254,241,734,463,373,312/5,735,388,666.30
  6. Step 6: Final answer
    x = 8,587,777,498.65

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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.