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Finding the Fourth Proportional to 514,909,827,201.60, 772,364,740,802.40 and 514,909,827,201.60

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Solution

The fourth proportional to 514,909,827,201.60, 772,364,740,802.40 and 514,909,827,201.60 is: 772,364,740,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,909,827,201.60 : 772,364,740,802.40 = 514,909,827,201.60 : x
  2. Step 2: Convert to fraction form
    514,909,827,201.60/772,364,740,802.40 = 514,909,827,201.60/x
  3. Step 3: Cross multiply
    514,909,827,201.60x = 772,364,740,802.40 × 514,909,827,201.60
  4. Step 4: Simplify right side
    514,909,827,201.60x = 397,698,195,223,172,339,466,240
  5. Step 5: Solve for x
    x = 397,698,195,223,172,339,466,240/514,909,827,201.60
  6. Step 6: Final answer
    x = 772,364,740,802.40

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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.