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Finding the Fourth Proportional to 163,780,501,820.70, 245,670,752,731.05 and 163,780,501,820.70

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Solution

The fourth proportional to 163,780,501,820.70, 245,670,752,731.05 and 163,780,501,820.70 is: 245,670,752,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,780,501,820.70 : 245,670,752,731.05 = 163,780,501,820.70 : x
  2. Step 2: Convert to fraction form
    163,780,501,820.70/245,670,752,731.05 = 163,780,501,820.70/x
  3. Step 3: Cross multiply
    163,780,501,820.70x = 245,670,752,731.05 × 163,780,501,820.70
  4. Step 4: Simplify right side
    163,780,501,820.70x = 40,236,079,164,960,475,709,440
  5. Step 5: Solve for x
    x = 40,236,079,164,960,475,709,440/163,780,501,820.70
  6. Step 6: Final answer
    x = 245,670,752,731.05

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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.