Home / 305,300,926,254.78-458,160,575,140.89-106,554,215,349.18

Finding the Fourth Proportional to 305,300,926,254.78, 458,160,575,140.89 and 106,554,215,349.18

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Solution

The fourth proportional to 305,300,926,254.78, 458,160,575,140.89 and 106,554,215,349.18 is: 159,904,331,725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,300,926,254.78 : 458,160,575,140.89 = 106,554,215,349.18 : x
  2. Step 2: Convert to fraction form
    305,300,926,254.78/458,160,575,140.89 = 106,554,215,349.18/x
  3. Step 3: Cross multiply
    305,300,926,254.78x = 458,160,575,140.89 × 106,554,215,349.18
  4. Step 4: Simplify right side
    305,300,926,254.78x = 48,818,940,588,066,554,773,504
  5. Step 5: Solve for x
    x = 48,818,940,588,066,554,773,504/305,300,926,254.78
  6. Step 6: Final answer
    x = 159,904,331,725.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.