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Finding the Fourth Proportional to 1,157,798,489.60, 1,625,217,702.40 and 1,157,798,489.60

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Solution

The fourth proportional to 1,157,798,489.60, 1,625,217,702.40 and 1,157,798,489.60 is: 1,625,217,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,798,489.60 : 1,625,217,702.40 = 1,157,798,489.60 : x
  2. Step 2: Convert to fraction form
    1,157,798,489.60/1,625,217,702.40 = 1,157,798,489.60/x
  3. Step 3: Cross multiply
    1,157,798,489.60x = 1,625,217,702.40 × 1,157,798,489.60
  4. Step 4: Simplify right side
    1,157,798,489.60x = 1,881,674,601,109,902,336
  5. Step 5: Solve for x
    x = 1,881,674,601,109,902,336/1,157,798,489.60
  6. Step 6: Final answer
    x = 1,625,217,702.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.