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Finding the Fourth Proportional to 1,857,497,802.82, 2,786,649,812.07 and 564,999,698.50

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Solution

The fourth proportional to 1,857,497,802.82, 2,786,649,812.07 and 564,999,698.50 is: 847,622,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857,497,802.82 : 2,786,649,812.07 = 564,999,698.50 : x
  2. Step 2: Convert to fraction form
    1,857,497,802.82/2,786,649,812.07 = 564,999,698.50/x
  3. Step 3: Cross multiply
    1,857,497,802.82x = 2,786,649,812.07 × 564,999,698.50
  4. Step 4: Simplify right side
    1,857,497,802.82x = 1,574,456,303,644,631,808
  5. Step 5: Solve for x
    x = 1,574,456,303,644,631,808/1,857,497,802.82
  6. Step 6: Final answer
    x = 847,622,162.06

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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.