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Finding the Fourth Proportional to 176,463,642.60, 264,695,463.90 and 135,648,973.80

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Solution

The fourth proportional to 176,463,642.60, 264,695,463.90 and 135,648,973.80 is: 203,473,460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,463,642.60 : 264,695,463.90 = 135,648,973.80 : x
  2. Step 2: Convert to fraction form
    176,463,642.60/264,695,463.90 = 135,648,973.80/x
  3. Step 3: Cross multiply
    176,463,642.60x = 264,695,463.90 × 135,648,973.80
  4. Step 4: Simplify right side
    176,463,642.60x = 35,905,668,047,549,948
  5. Step 5: Solve for x
    x = 35,905,668,047,549,948/176,463,642.60
  6. Step 6: Final answer
    x = 203,473,460.70

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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.