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Finding the Fourth Proportional to 670,455,513.45, 1,005,683,270.19 and 670,455,513.45

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Solution

The fourth proportional to 670,455,513.45, 1,005,683,270.19 and 670,455,513.45 is: 1,005,683,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,455,513.45 : 1,005,683,270.19 = 670,455,513.45 : x
  2. Step 2: Convert to fraction form
    670,455,513.45/1,005,683,270.19 = 670,455,513.45/x
  3. Step 3: Cross multiply
    670,455,513.45x = 1,005,683,270.19 × 670,455,513.45
  4. Step 4: Simplify right side
    670,455,513.45x = 674,265,893,283,311,616
  5. Step 5: Solve for x
    x = 674,265,893,283,311,616/670,455,513.45
  6. Step 6: Final answer
    x = 1,005,683,270.19

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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.