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Finding the Fourth Proportional to 255,298,964.48, 382,892,459.48 and 73,506,659.84

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Solution

The fourth proportional to 255,298,964.48, 382,892,459.48 and 73,506,659.84 is: 110,243,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,298,964.48 : 382,892,459.48 = 73,506,659.84 : x
  2. Step 2: Convert to fraction form
    255,298,964.48/382,892,459.48 = 73,506,659.84/x
  3. Step 3: Cross multiply
    255,298,964.48x = 382,892,459.48 × 73,506,659.84
  4. Step 4: Simplify right side
    255,298,964.48x = 28,145,145,774,297,348
  5. Step 5: Solve for x
    x = 28,145,145,774,297,348/255,298,964.48
  6. Step 6: Final answer
    x = 110,243,869.70

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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.