Home / 466,106,441,104.34-643,220,043,270.68-260,343,683,285.76

Finding the Fourth Proportional to 466,106,441,104.34, 643,220,043,270.68 and 260,343,683,285.76

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Solution

The fourth proportional to 466,106,441,104.34, 643,220,043,270.68 and 260,343,683,285.76 is: 359,270,459,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,106,441,104.34 : 643,220,043,270.68 = 260,343,683,285.76 : x
  2. Step 2: Convert to fraction form
    466,106,441,104.34/643,220,043,270.68 = 260,343,683,285.76/x
  3. Step 3: Cross multiply
    466,106,441,104.34x = 643,220,043,270.68 × 260,343,683,285.76
  4. Step 4: Simplify right side
    466,106,441,104.34x = 167,458,275,228,314,782,138,368
  5. Step 5: Solve for x
    x = 167,458,275,228,314,782,138,368/466,106,441,104.34
  6. Step 6: Final answer
    x = 359,270,459,407.42

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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.