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Finding the Fourth Proportional to 193,088,328.80, 289,968,416.40 and 102,389,064.80

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Solution

The fourth proportional to 193,088,328.80, 289,968,416.40 and 102,389,064.80 is: 153,761,727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,088,328.80 : 289,968,416.40 = 102,389,064.80 : x
  2. Step 2: Convert to fraction form
    193,088,328.80/289,968,416.40 = 102,389,064.80/x
  3. Step 3: Cross multiply
    193,088,328.80x = 289,968,416.40 × 102,389,064.80
  4. Step 4: Simplify right side
    193,088,328.80x = 29,689,594,976,732,980
  5. Step 5: Solve for x
    x = 29,689,594,976,732,980/193,088,328.80
  6. Step 6: Final answer
    x = 153,761,727.40

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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.