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Finding the Fourth Proportional to 616,010,145, 850,094,000.10 and 355,249,761

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Solution

The fourth proportional to 616,010,145, 850,094,000.10 and 355,249,761 is: 490,244,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,010,145 : 850,094,000.10 = 355,249,761 : x
  2. Step 2: Convert to fraction form
    616,010,145/850,094,000.10 = 355,249,761/x
  3. Step 3: Cross multiply
    616,010,145x = 850,094,000.10 × 355,249,761
  4. Step 4: Simplify right side
    616,010,145x = 301,995,690,363,059,008
  5. Step 5: Solve for x
    x = 301,995,690,363,059,008/616,010,145
  6. Step 6: Final answer
    x = 490,244,670.18

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Why These Related Problems?

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