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Finding the Fourth Proportional to 1,869,502,453.80, 2,804,253,680.70 and 778,843,804.20

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Solution

The fourth proportional to 1,869,502,453.80, 2,804,253,680.70 and 778,843,804.20 is: 1,168,265,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869,502,453.80 : 2,804,253,680.70 = 778,843,804.20 : x
  2. Step 2: Convert to fraction form
    1,869,502,453.80/2,804,253,680.70 = 778,843,804.20/x
  3. Step 3: Cross multiply
    1,869,502,453.80x = 2,804,253,680.70 × 778,843,804.20
  4. Step 4: Simplify right side
    1,869,502,453.80x = 2,184,075,604,618,240,000
  5. Step 5: Solve for x
    x = 2,184,075,604,618,240,000/1,869,502,453.80
  6. Step 6: Final answer
    x = 1,168,265,706.30

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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.