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Finding the Fourth Proportional to 1,990,657,329.60, 2,780,470,536 and 1,990,657,329.60

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Solution

The fourth proportional to 1,990,657,329.60, 2,780,470,536 and 1,990,657,329.60 is: 2,780,470,536

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990,657,329.60 : 2,780,470,536 = 1,990,657,329.60 : x
  2. Step 2: Convert to fraction form
    1,990,657,329.60/2,780,470,536 = 1,990,657,329.60/x
  3. Step 3: Cross multiply
    1,990,657,329.60x = 2,780,470,536 × 1,990,657,329.60
  4. Step 4: Simplify right side
    1,990,657,329.60x = 5,534,964,052,225,240,064
  5. Step 5: Solve for x
    x = 5,534,964,052,225,240,064/1,990,657,329.60
  6. Step 6: Final answer
    x = 2,780,470,536

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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.