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Finding the Fourth Proportional to 200,356,859,901.60, 300,535,289,852.40 and 200,356,859,901.60

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Solution

The fourth proportional to 200,356,859,901.60, 300,535,289,852.40 and 200,356,859,901.60 is: 300,535,289,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,356,859,901.60 : 300,535,289,852.40 = 200,356,859,901.60 : x
  2. Step 2: Convert to fraction form
    200,356,859,901.60/300,535,289,852.40 = 200,356,859,901.60/x
  3. Step 3: Cross multiply
    200,356,859,901.60x = 300,535,289,852.40 × 200,356,859,901.60
  4. Step 4: Simplify right side
    200,356,859,901.60x = 60,214,306,964,444,060,581,888
  5. Step 5: Solve for x
    x = 60,214,306,964,444,060,581,888/200,356,859,901.60
  6. Step 6: Final answer
    x = 300,535,289,852.40

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1.5x scale

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.