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Finding the Fourth Proportional to 310,459,373.10, 465,689,059.65 and 295,342,829.10

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Solution

The fourth proportional to 310,459,373.10, 465,689,059.65 and 295,342,829.10 is: 443,014,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,459,373.10 : 465,689,059.65 = 295,342,829.10 : x
  2. Step 2: Convert to fraction form
    310,459,373.10/465,689,059.65 = 295,342,829.10/x
  3. Step 3: Cross multiply
    310,459,373.10x = 465,689,059.65 × 295,342,829.10
  4. Step 4: Simplify right side
    310,459,373.10x = 137,537,924,357,949,664
  5. Step 5: Solve for x
    x = 137,537,924,357,949,664/310,459,373.10
  6. Step 6: Final answer
    x = 443,014,243.65

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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.