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Finding the Fourth Proportional to 359,649,969.35, 504,020,140.45 and 359,649,969.35

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Solution

The fourth proportional to 359,649,969.35, 504,020,140.45 and 359,649,969.35 is: 504,020,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,649,969.35 : 504,020,140.45 = 359,649,969.35 : x
  2. Step 2: Convert to fraction form
    359,649,969.35/504,020,140.45 = 359,649,969.35/x
  3. Step 3: Cross multiply
    359,649,969.35x = 504,020,140.45 × 359,649,969.35
  4. Step 4: Simplify right side
    359,649,969.35x = 181,270,828,064,625,216
  5. Step 5: Solve for x
    x = 181,270,828,064,625,216/359,649,969.35
  6. Step 6: Final answer
    x = 504,020,140.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.