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Finding the Fourth Proportional to 383,618,501.10, 575,427,751.65 and 383,618,501.10

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Solution

The fourth proportional to 383,618,501.10, 575,427,751.65 and 383,618,501.10 is: 575,427,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,618,501.10 : 575,427,751.65 = 383,618,501.10 : x
  2. Step 2: Convert to fraction form
    383,618,501.10/575,427,751.65 = 383,618,501.10/x
  3. Step 3: Cross multiply
    383,618,501.10x = 575,427,751.65 × 383,618,501.10
  4. Step 4: Simplify right side
    383,618,501.10x = 220,744,731,579,316,064
  5. Step 5: Solve for x
    x = 220,744,731,579,316,064/383,618,501.10
  6. Step 6: Final answer
    x = 575,427,751.65

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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.