Home / 380,268,869,871.98-524,783,625,530.70-208,996,872,182.30

Finding the Fourth Proportional to 380,268,869,871.98, 524,783,625,530.70 and 208,996,872,182.30

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Solution

The fourth proportional to 380,268,869,871.98, 524,783,625,530.70 and 208,996,872,182.30 is: 288,422,600,423.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,268,869,871.98 : 524,783,625,530.70 = 208,996,872,182.30 : x
  2. Step 2: Convert to fraction form
    380,268,869,871.98/524,783,625,530.70 = 208,996,872,182.30/x
  3. Step 3: Cross multiply
    380,268,869,871.98x = 524,783,625,530.70 × 208,996,872,182.30
  4. Step 4: Simplify right side
    380,268,869,871.98x = 109,678,136,308,403,693,158,400
  5. Step 5: Solve for x
    x = 109,678,136,308,403,693,158,400/380,268,869,871.98
  6. Step 6: Final answer
    x = 288,422,600,423.03

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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.