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Finding the Fourth Proportional to 768,733,775.19, 1,154,940,231.42 and 492,925,360.50

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Solution

The fourth proportional to 768,733,775.19, 1,154,940,231.42 and 492,925,360.50 is: 740,567,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,733,775.19 : 1,154,940,231.42 = 492,925,360.50 : x
  2. Step 2: Convert to fraction form
    768,733,775.19/1,154,940,231.42 = 492,925,360.50/x
  3. Step 3: Cross multiply
    768,733,775.19x = 1,154,940,231.42 × 492,925,360.50
  4. Step 4: Simplify right side
    768,733,775.19x = 569,299,329,928,656,960
  5. Step 5: Solve for x
    x = 569,299,329,928,656,960/768,733,775.19
  6. Step 6: Final answer
    x = 740,567,603.90

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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.