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Finding the Fourth Proportional to 314,604,886.90, 471,907,330.35 and 200,097,066.10

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Solution

The fourth proportional to 314,604,886.90, 471,907,330.35 and 200,097,066.10 is: 300,145,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,604,886.90 : 471,907,330.35 = 200,097,066.10 : x
  2. Step 2: Convert to fraction form
    314,604,886.90/471,907,330.35 = 200,097,066.10/x
  3. Step 3: Cross multiply
    314,604,886.90x = 471,907,330.35 × 200,097,066.10
  4. Step 4: Simplify right side
    314,604,886.90x = 94,427,272,274,118,496
  5. Step 5: Solve for x
    x = 94,427,272,274,118,496/314,604,886.90
  6. Step 6: Final answer
    x = 300,145,599.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.