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Finding the Fourth Proportional to 1,710,893,844,024.50, 2,566,340,766,036.80 and 1,710,893,844,024.50

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Solution

The fourth proportional to 1,710,893,844,024.50, 2,566,340,766,036.80 and 1,710,893,844,024.50 is: 2,566,340,766,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710,893,844,024.50 : 2,566,340,766,036.80 = 1,710,893,844,024.50 : x
  2. Step 2: Convert to fraction form
    1,710,893,844,024.50/2,566,340,766,036.80 = 1,710,893,844,024.50/x
  3. Step 3: Cross multiply
    1,710,893,844,024.50x = 2,566,340,766,036.80 × 1,710,893,844,024.50
  4. Step 4: Simplify right side
    1,710,893,844,024.50x = 4,390,736,618,281,480,572,895,232
  5. Step 5: Solve for x
    x = 4,390,736,618,281,480,572,895,232/1,710,893,844,024.50
  6. Step 6: Final answer
    x = 2,566,340,766,036.80

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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.