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Finding the Fourth Proportional to 820,455,696,096.90, 1,230,683,544,145.30 and 820,455,696,096.90

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Solution

The fourth proportional to 820,455,696,096.90, 1,230,683,544,145.30 and 820,455,696,096.90 is: 1,230,683,544,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,455,696,096.90 : 1,230,683,544,145.30 = 820,455,696,096.90 : x
  2. Step 2: Convert to fraction form
    820,455,696,096.90/1,230,683,544,145.30 = 820,455,696,096.90/x
  3. Step 3: Cross multiply
    820,455,696,096.90x = 1,230,683,544,145.30 × 820,455,696,096.90
  4. Step 4: Simplify right side
    820,455,696,096.90x = 1,009,721,323,886,732,174,688,256
  5. Step 5: Solve for x
    x = 1,009,721,323,886,732,174,688,256/820,455,696,096.90
  6. Step 6: Final answer
    x = 1,230,683,544,145.30

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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.