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Finding the Fourth Proportional to 823,684,497.07, 1,136,754,709.54 and 466,515,811.32

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Solution

The fourth proportional to 823,684,497.07, 1,136,754,709.54 and 466,515,811.32 is: 643,831,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,684,497.07 : 1,136,754,709.54 = 466,515,811.32 : x
  2. Step 2: Convert to fraction form
    823,684,497.07/1,136,754,709.54 = 466,515,811.32/x
  3. Step 3: Cross multiply
    823,684,497.07x = 1,136,754,709.54 × 466,515,811.32
  4. Step 4: Simplify right side
    823,684,497.07x = 530,314,045,596,467,392
  5. Step 5: Solve for x
    x = 530,314,045,596,467,392/823,684,497.07
  6. Step 6: Final answer
    x = 643,831,524.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.