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Finding the Fourth Proportional to 314,935,643.60, 472,403,465.40 and 295,803,767.60

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Solution

The fourth proportional to 314,935,643.60, 472,403,465.40 and 295,803,767.60 is: 443,705,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,935,643.60 : 472,403,465.40 = 295,803,767.60 : x
  2. Step 2: Convert to fraction form
    314,935,643.60/472,403,465.40 = 295,803,767.60/x
  3. Step 3: Cross multiply
    314,935,643.60x = 472,403,465.40 × 295,803,767.60
  4. Step 4: Simplify right side
    314,935,643.60x = 139,738,724,892,616,240
  5. Step 5: Solve for x
    x = 139,738,724,892,616,240/314,935,643.60
  6. Step 6: Final answer
    x = 443,705,651.40

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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.