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Finding the Fourth Proportional to 280,174,701.60, 420,262,052.40 and 264,302,330.40

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Solution

The fourth proportional to 280,174,701.60, 420,262,052.40 and 264,302,330.40 is: 396,453,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,174,701.60 : 420,262,052.40 = 264,302,330.40 : x
  2. Step 2: Convert to fraction form
    280,174,701.60/420,262,052.40 = 264,302,330.40/x
  3. Step 3: Cross multiply
    280,174,701.60x = 420,262,052.40 × 264,302,330.40
  4. Step 4: Simplify right side
    280,174,701.60x = 111,076,239,828,006,912
  5. Step 5: Solve for x
    x = 111,076,239,828,006,912/280,174,701.60
  6. Step 6: Final answer
    x = 396,453,495.60

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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.