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Finding the Fourth Proportional to 478,839,683.35, 718,259,525.03 and 478,839,683.35

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Solution

The fourth proportional to 478,839,683.35, 718,259,525.03 and 478,839,683.35 is: 718,259,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,839,683.35 : 718,259,525.03 = 478,839,683.35 : x
  2. Step 2: Convert to fraction form
    478,839,683.35/718,259,525.03 = 478,839,683.35/x
  3. Step 3: Cross multiply
    478,839,683.35x = 718,259,525.03 × 478,839,683.35
  4. Step 4: Simplify right side
    478,839,683.35x = 343,931,163,526,092,416
  5. Step 5: Solve for x
    x = 343,931,163,526,092,416/478,839,683.35
  6. Step 6: Final answer
    x = 718,259,525.03

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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.