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Finding the Fourth Proportional to 680,343,476, 939,164,210.16 and 457,454,350.40

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Solution

The fourth proportional to 680,343,476, 939,164,210.16 and 457,454,350.40 is: 631,482,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,343,476 : 939,164,210.16 = 457,454,350.40 : x
  2. Step 2: Convert to fraction form
    680,343,476/939,164,210.16 = 457,454,350.40/x
  3. Step 3: Cross multiply
    680,343,476x = 939,164,210.16 × 457,454,350.40
  4. Step 4: Simplify right side
    680,343,476x = 429,624,753,677,671,872
  5. Step 5: Solve for x
    x = 429,624,753,677,671,872/680,343,476
  6. Step 6: Final answer
    x = 631,482,139.29

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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.