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Finding the Fourth Proportional to 500,908,576.69, 690,966,641.10 and 312,409,613.14

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Solution

The fourth proportional to 500,908,576.69, 690,966,641.10 and 312,409,613.14 is: 430,946,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,908,576.69 : 690,966,641.10 = 312,409,613.14 : x
  2. Step 2: Convert to fraction form
    500,908,576.69/690,966,641.10 = 312,409,613.14/x
  3. Step 3: Cross multiply
    500,908,576.69x = 690,966,641.10 × 312,409,613.14
  4. Step 4: Simplify right side
    500,908,576.69x = 215,864,621,038,696,224
  5. Step 5: Solve for x
    x = 215,864,621,038,696,224/500,908,576.69
  6. Step 6: Final answer
    x = 430,946,146.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.