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Finding the Fourth Proportional to 341,847,868.16, 512,772,443.04 and 83,063,307.20

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Solution

The fourth proportional to 341,847,868.16, 512,772,443.04 and 83,063,307.20 is: 124,595,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,847,868.16 : 512,772,443.04 = 83,063,307.20 : x
  2. Step 2: Convert to fraction form
    341,847,868.16/512,772,443.04 = 83,063,307.20/x
  3. Step 3: Cross multiply
    341,847,868.16x = 512,772,443.04 × 83,063,307.20
  4. Step 4: Simplify right side
    341,847,868.16x = 42,592,574,959,926,024
  5. Step 5: Solve for x
    x = 42,592,574,959,926,024/341,847,868.16
  6. Step 6: Final answer
    x = 124,595,116.50

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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.