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Finding the Fourth Proportional to 768,733,776.19, 1,154,940,232.92 and 492,925,361.50

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Solution

The fourth proportional to 768,733,776.19, 1,154,940,232.92 and 492,925,361.50 is: 740,567,605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,733,776.19 : 1,154,940,232.92 = 492,925,361.50 : x
  2. Step 2: Convert to fraction form
    768,733,776.19/1,154,940,232.92 = 492,925,361.50/x
  3. Step 3: Cross multiply
    768,733,776.19x = 1,154,940,232.92 × 492,925,361.50
  4. Step 4: Simplify right side
    768,733,776.19x = 569,299,331,822,985,216
  5. Step 5: Solve for x
    x = 569,299,331,822,985,216/768,733,776.19
  6. Step 6: Final answer
    x = 740,567,605.40

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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.