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Finding the Fourth Proportional to 801,535,590.30, 1,202,303,385.45 and 801,535,590.30

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Solution

The fourth proportional to 801,535,590.30, 1,202,303,385.45 and 801,535,590.30 is: 1,202,303,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,535,590.30 : 1,202,303,385.45 = 801,535,590.30 : x
  2. Step 2: Convert to fraction form
    801,535,590.30/1,202,303,385.45 = 801,535,590.30/x
  3. Step 3: Cross multiply
    801,535,590.30x = 1,202,303,385.45 × 801,535,590.30
  4. Step 4: Simplify right side
    801,535,590.30x = 963,688,953,776,354,176
  5. Step 5: Solve for x
    x = 963,688,953,776,354,176/801,535,590.30
  6. Step 6: Final answer
    x = 1,202,303,385.45

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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.