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Finding the Fourth Proportional to 537,668,566.60, 806,502,849.90 and 537,668,566.60

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Solution

The fourth proportional to 537,668,566.60, 806,502,849.90 and 537,668,566.60 is: 806,502,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,668,566.60 : 806,502,849.90 = 537,668,566.60 : x
  2. Step 2: Convert to fraction form
    537,668,566.60/806,502,849.90 = 537,668,566.60/x
  3. Step 3: Cross multiply
    537,668,566.60x = 806,502,849.90 × 537,668,566.60
  4. Step 4: Simplify right side
    537,668,566.60x = 433,631,231,264,547,968
  5. Step 5: Solve for x
    x = 433,631,231,264,547,968/537,668,566.60
  6. Step 6: Final answer
    x = 806,502,849.90

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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.