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Finding the Fourth Proportional to 402,109,403.60, 603,462,703.80 and 159,946,101.20

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Solution

The fourth proportional to 402,109,403.60, 603,462,703.80 and 159,946,101.20 is: 240,037,924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,109,403.60 : 603,462,703.80 = 159,946,101.20 : x
  2. Step 2: Convert to fraction form
    402,109,403.60/603,462,703.80 = 159,946,101.20/x
  3. Step 3: Cross multiply
    402,109,403.60x = 603,462,703.80 × 159,946,101.20
  4. Step 4: Simplify right side
    402,109,403.60x = 96,521,506,692,420,416
  5. Step 5: Solve for x
    x = 96,521,506,692,420,416/402,109,403.60
  6. Step 6: Final answer
    x = 240,037,924.58

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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.