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Finding the Fourth Proportional to 873,689,787, 1,205,683,946.90 and 477,212,671.46

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Solution

The fourth proportional to 873,689,787, 1,205,683,946.90 and 477,212,671.46 is: 658,549,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,689,787 : 1,205,683,946.90 = 477,212,671.46 : x
  2. Step 2: Convert to fraction form
    873,689,787/1,205,683,946.90 = 477,212,671.46/x
  3. Step 3: Cross multiply
    873,689,787x = 1,205,683,946.90 × 477,212,671.46
  4. Step 4: Simplify right side
    873,689,787x = 575,367,657,240,768,896
  5. Step 5: Solve for x
    x = 575,367,657,240,768,896/873,689,787
  6. Step 6: Final answer
    x = 658,549,139.30

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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.