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Finding the Fourth Proportional to 705,298,347.20, 973,312,342 and 387,763,996.16

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Solution

The fourth proportional to 705,298,347.20, 973,312,342 and 387,763,996.16 is: 535,114,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,298,347.20 : 973,312,342 = 387,763,996.16 : x
  2. Step 2: Convert to fraction form
    705,298,347.20/973,312,342 = 387,763,996.16/x
  3. Step 3: Cross multiply
    705,298,347.20x = 973,312,342 × 387,763,996.16
  4. Step 4: Simplify right side
    705,298,347.20x = 377,415,483,245,768,640
  5. Step 5: Solve for x
    x = 377,415,483,245,768,640/705,298,347.20
  6. Step 6: Final answer
    x = 535,114,657.14

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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.