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Finding the Fourth Proportional to 647,366,186.45, 893,363,656.98 and 361,254,712.77

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Solution

The fourth proportional to 647,366,186.45, 893,363,656.98 and 361,254,712.77 is: 498,530,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,366,186.45 : 893,363,656.98 = 361,254,712.77 : x
  2. Step 2: Convert to fraction form
    647,366,186.45/893,363,656.98 = 361,254,712.77/x
  3. Step 3: Cross multiply
    647,366,186.45x = 893,363,656.98 × 361,254,712.77
  4. Step 4: Simplify right side
    647,366,186.45x = 322,731,831,297,231,488
  5. Step 5: Solve for x
    x = 322,731,831,297,231,488/647,366,186.45
  6. Step 6: Final answer
    x = 498,530,565.93

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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.