Home / 202,013,683,160.86-278,779,621,335.36-109,314,538,144.17

Finding the Fourth Proportional to 202,013,683,160.86, 278,779,621,335.36 and 109,314,538,144.17

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Solution

The fourth proportional to 202,013,683,160.86, 278,779,621,335.36 and 109,314,538,144.17 is: 150,854,462,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,013,683,160.86 : 278,779,621,335.36 = 109,314,538,144.17 : x
  2. Step 2: Convert to fraction form
    202,013,683,160.86/278,779,621,335.36 = 109,314,538,144.17/x
  3. Step 3: Cross multiply
    202,013,683,160.86x = 278,779,621,335.36 × 109,314,538,144.17
  4. Step 4: Simplify right side
    202,013,683,160.86x = 30,474,665,550,281,476,931,584
  5. Step 5: Solve for x
    x = 30,474,665,550,281,476,931,584/202,013,683,160.86
  6. Step 6: Final answer
    x = 150,854,462,299.05

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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.