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Finding the Fourth Proportional to 459,291,296.90, 688,936,945.35 and 459,291,296.90

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Solution

The fourth proportional to 459,291,296.90, 688,936,945.35 and 459,291,296.90 is: 688,936,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,291,296.90 : 688,936,945.35 = 459,291,296.90 : x
  2. Step 2: Convert to fraction form
    459,291,296.90/688,936,945.35 = 459,291,296.90/x
  3. Step 3: Cross multiply
    459,291,296.90x = 688,936,945.35 × 459,291,296.90
  4. Step 4: Simplify right side
    459,291,296.90x = 316,422,743,112,125,888
  5. Step 5: Solve for x
    x = 316,422,743,112,125,888/459,291,296.90
  6. Step 6: Final answer
    x = 688,936,945.35

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1.5x scale

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.