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Finding the Fourth Proportional to 732,673,089.60, 1,099,009,634.40 and 687,323,457.60

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Solution

The fourth proportional to 732,673,089.60, 1,099,009,634.40 and 687,323,457.60 is: 1,030,985,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,673,089.60 : 1,099,009,634.40 = 687,323,457.60 : x
  2. Step 2: Convert to fraction form
    732,673,089.60/1,099,009,634.40 = 687,323,457.60/x
  3. Step 3: Cross multiply
    732,673,089.60x = 1,099,009,634.40 × 687,323,457.60
  4. Step 4: Simplify right side
    732,673,089.60x = 755,375,101,851,520,000
  5. Step 5: Solve for x
    x = 755,375,101,851,520,000/732,673,089.60
  6. Step 6: Final answer
    x = 1,030,985,186.40

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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.