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Finding the Fourth Proportional to 824,448,323.93, 1,137,733,380.35 and 472,092,415.99

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Solution

The fourth proportional to 824,448,323.93, 1,137,733,380.35 and 472,092,415.99 is: 651,484,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,448,323.93 : 1,137,733,380.35 = 472,092,415.99 : x
  2. Step 2: Convert to fraction form
    824,448,323.93/1,137,733,380.35 = 472,092,415.99/x
  3. Step 3: Cross multiply
    824,448,323.93x = 1,137,733,380.35 × 472,092,415.99
  4. Step 4: Simplify right side
    824,448,323.93x = 537,115,300,288,459,904
  5. Step 5: Solve for x
    x = 537,115,300,288,459,904/824,448,323.93
  6. Step 6: Final answer
    x = 651,484,495.39

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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.