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Finding the Fourth Proportional to 209,952,461.70, 314,928,692.55 and 102,457,037.70

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Solution

The fourth proportional to 209,952,461.70, 314,928,692.55 and 102,457,037.70 is: 153,685,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,461.70 : 314,928,692.55 = 102,457,037.70 : x
  2. Step 2: Convert to fraction form
    209,952,461.70/314,928,692.55 = 102,457,037.70/x
  3. Step 3: Cross multiply
    209,952,461.70x = 314,928,692.55 × 102,457,037.70
  4. Step 4: Simplify right side
    209,952,461.70x = 32,266,660,925,407,060
  5. Step 5: Solve for x
    x = 32,266,660,925,407,060/209,952,461.70
  6. Step 6: Final answer
    x = 153,685,556.55

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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.