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Finding the Fourth Proportional to 600,445,668.60, 901,249,491.41 and 289,771,986.40

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Solution

The fourth proportional to 600,445,668.60, 901,249,491.41 and 289,771,986.40 is: 434,938,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,445,668.60 : 901,249,491.41 = 289,771,986.40 : x
  2. Step 2: Convert to fraction form
    600,445,668.60/901,249,491.41 = 289,771,986.40/x
  3. Step 3: Cross multiply
    600,445,668.60x = 901,249,491.41 × 289,771,986.40
  4. Step 4: Simplify right side
    600,445,668.60x = 261,156,855,365,250,080
  5. Step 5: Solve for x
    x = 261,156,855,365,250,080/600,445,668.60
  6. Step 6: Final answer
    x = 434,938,361.66

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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.