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Finding the Fourth Proportional to 10,762,428,509.60, 16,143,642,764.40 and 10,762,428,509.60

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Solution

The fourth proportional to 10,762,428,509.60, 16,143,642,764.40 and 10,762,428,509.60 is: 16,143,642,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762,428,509.60 : 16,143,642,764.40 = 10,762,428,509.60 : x
  2. Step 2: Convert to fraction form
    10,762,428,509.60/16,143,642,764.40 = 10,762,428,509.60/x
  3. Step 3: Cross multiply
    10,762,428,509.60x = 16,143,642,764.40 × 10,762,428,509.60
  4. Step 4: Simplify right side
    10,762,428,509.60x = 173,744,801,136,376,315,904
  5. Step 5: Solve for x
    x = 173,744,801,136,376,315,904/10,762,428,509.60
  6. Step 6: Final answer
    x = 16,143,642,764.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.