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Finding the Fourth Proportional to 594,077,746,545.80, 891,116,619,818.70 and 594,077,746,545.80

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Solution

The fourth proportional to 594,077,746,545.80, 891,116,619,818.70 and 594,077,746,545.80 is: 891,116,619,818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,077,746,545.80 : 891,116,619,818.70 = 594,077,746,545.80 : x
  2. Step 2: Convert to fraction form
    594,077,746,545.80/891,116,619,818.70 = 594,077,746,545.80/x
  3. Step 3: Cross multiply
    594,077,746,545.80x = 891,116,619,818.70 × 594,077,746,545.80
  4. Step 4: Simplify right side
    594,077,746,545.80x = 529,392,553,411,403,667,472,384
  5. Step 5: Solve for x
    x = 529,392,553,411,403,667,472,384/594,077,746,545.80
  6. Step 6: Final answer
    x = 891,116,619,818.70

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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.