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Finding the Fourth Proportional to 978,841,401.60, 1,468,262,102.40 and 565,026,009.60

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Solution

The fourth proportional to 978,841,401.60, 1,468,262,102.40 and 565,026,009.60 is: 847,539,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,841,401.60 : 1,468,262,102.40 = 565,026,009.60 : x
  2. Step 2: Convert to fraction form
    978,841,401.60/1,468,262,102.40 = 565,026,009.60/x
  3. Step 3: Cross multiply
    978,841,401.60x = 1,468,262,102.40 × 565,026,009.60
  4. Step 4: Simplify right side
    978,841,401.60x = 829,606,276,765,978,624
  5. Step 5: Solve for x
    x = 829,606,276,765,978,624/978,841,401.60
  6. Step 6: Final answer
    x = 847,539,014.40

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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.