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Finding the Fourth Proportional to 817,183,575,817.30, 1,225,775,363,726 and 817,183,575,817.30

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Solution

The fourth proportional to 817,183,575,817.30, 1,225,775,363,726 and 817,183,575,817.30 is: 1,225,775,363,726

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,183,575,817.30 : 1,225,775,363,726 = 817,183,575,817.30 : x
  2. Step 2: Convert to fraction form
    817,183,575,817.30/1,225,775,363,726 = 817,183,575,817.30/x
  3. Step 3: Cross multiply
    817,183,575,817.30x = 1,225,775,363,726 × 817,183,575,817.30
  4. Step 4: Simplify right side
    817,183,575,817.30x = 1,001,683,494,878,364,324,331,520
  5. Step 5: Solve for x
    x = 1,001,683,494,878,364,324,331,520/817,183,575,817.30
  6. Step 6: Final answer
    x = 1,225,775,363,726

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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.