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Finding the Fourth Proportional to 488,080,866.81, 732,148,969.04 and 156,117,035.01

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Solution

The fourth proportional to 488,080,866.81, 732,148,969.04 and 156,117,035.01 is: 234,184,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,080,866.81 : 732,148,969.04 = 156,117,035.01 : x
  2. Step 2: Convert to fraction form
    488,080,866.81/732,148,969.04 = 156,117,035.01/x
  3. Step 3: Cross multiply
    488,080,866.81x = 732,148,969.04 × 156,117,035.01
  4. Step 4: Simplify right side
    488,080,866.81x = 114,300,926,232,153,072
  5. Step 5: Solve for x
    x = 114,300,926,232,153,072/488,080,866.81
  6. Step 6: Final answer
    x = 234,184,402.64

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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.