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Finding the Fourth Proportional to 4,465,983,835.20, 6,698,975,752.80 and 4,465,983,835.20

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Solution

The fourth proportional to 4,465,983,835.20, 6,698,975,752.80 and 4,465,983,835.20 is: 6,698,975,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465,983,835.20 : 6,698,975,752.80 = 4,465,983,835.20 : x
  2. Step 2: Convert to fraction form
    4,465,983,835.20/6,698,975,752.80 = 4,465,983,835.20/x
  3. Step 3: Cross multiply
    4,465,983,835.20x = 6,698,975,752.80 × 4,465,983,835.20
  4. Step 4: Simplify right side
    4,465,983,835.20x = 29,917,517,424,401,551,360
  5. Step 5: Solve for x
    x = 29,917,517,424,401,551,360/4,465,983,835.20
  6. Step 6: Final answer
    x = 6,698,975,752.80

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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.