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Finding the Fourth Proportional to 594,077,746,529.40, 891,116,619,794.10 and 594,077,746,529.40

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Solution

The fourth proportional to 594,077,746,529.40, 891,116,619,794.10 and 594,077,746,529.40 is: 891,116,619,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,077,746,529.40 : 891,116,619,794.10 = 594,077,746,529.40 : x
  2. Step 2: Convert to fraction form
    594,077,746,529.40/891,116,619,794.10 = 594,077,746,529.40/x
  3. Step 3: Cross multiply
    594,077,746,529.40x = 891,116,619,794.10 × 594,077,746,529.40
  4. Step 4: Simplify right side
    594,077,746,529.40x = 529,392,553,382,175,072,845,824
  5. Step 5: Solve for x
    x = 529,392,553,382,175,072,845,824/594,077,746,529.40
  6. Step 6: Final answer
    x = 891,116,619,794.10

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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.