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Finding the Fourth Proportional to 585,178,602.90, 877,766,154.66 and 148,478,442.90

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Solution

The fourth proportional to 585,178,602.90, 877,766,154.66 and 148,478,442.90 is: 222,717,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,178,602.90 : 877,766,154.66 = 148,478,442.90 : x
  2. Step 2: Convert to fraction form
    585,178,602.90/877,766,154.66 = 148,478,442.90/x
  3. Step 3: Cross multiply
    585,178,602.90x = 877,766,154.66 × 148,478,442.90
  4. Step 4: Simplify right side
    585,178,602.90x = 130,329,351,874,237,376
  5. Step 5: Solve for x
    x = 130,329,351,874,237,376/585,178,602.90
  6. Step 6: Final answer
    x = 222,717,220.40

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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.