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Finding the Fourth Proportional to 316,971,569.10, 475,457,353.65 and 316,971,569.10

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Solution

The fourth proportional to 316,971,569.10, 475,457,353.65 and 316,971,569.10 is: 475,457,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,971,569.10 : 475,457,353.65 = 316,971,569.10 : x
  2. Step 2: Convert to fraction form
    316,971,569.10/475,457,353.65 = 316,971,569.10/x
  3. Step 3: Cross multiply
    316,971,569.10x = 475,457,353.65 × 316,971,569.10
  4. Step 4: Simplify right side
    316,971,569.10x = 150,706,463,426,574,112
  5. Step 5: Solve for x
    x = 150,706,463,426,574,112/316,971,569.10
  6. Step 6: Final answer
    x = 475,457,353.65

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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.