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Finding the Fourth Proportional to 10,456,146,000.20, 14,675,337,602.20 and 10,456,146,000.20

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Solution

The fourth proportional to 10,456,146,000.20, 14,675,337,602.20 and 10,456,146,000.20 is: 14,675,337,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456,146,000.20 : 14,675,337,602.20 = 10,456,146,000.20 : x
  2. Step 2: Convert to fraction form
    10,456,146,000.20/14,675,337,602.20 = 10,456,146,000.20/x
  3. Step 3: Cross multiply
    10,456,146,000.20x = 14,675,337,602.20 × 10,456,146,000.20
  4. Step 4: Simplify right side
    10,456,146,000.20x = 153,447,472,570,828,193,792
  5. Step 5: Solve for x
    x = 153,447,472,570,828,193,792/10,456,146,000.20
  6. Step 6: Final answer
    x = 14,675,337,602.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.