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Finding the Fourth Proportional to 673,590,700.80, 1,010,386,051.20 and 673,590,700.80

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Solution

The fourth proportional to 673,590,700.80, 1,010,386,051.20 and 673,590,700.80 is: 1,010,386,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,590,700.80 : 1,010,386,051.20 = 673,590,700.80 : x
  2. Step 2: Convert to fraction form
    673,590,700.80/1,010,386,051.20 = 673,590,700.80/x
  3. Step 3: Cross multiply
    673,590,700.80x = 1,010,386,051.20 × 673,590,700.80
  4. Step 4: Simplify right side
    673,590,700.80x = 680,586,648,306,352,640
  5. Step 5: Solve for x
    x = 680,586,648,306,352,640/673,590,700.80
  6. Step 6: Final answer
    x = 1,010,386,051.20

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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.