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Finding the Fourth Proportional to 519,886,773,619.30, 779,830,160,428.95 and 519,886,773,619.30

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Solution

The fourth proportional to 519,886,773,619.30, 779,830,160,428.95 and 519,886,773,619.30 is: 779,830,160,428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,886,773,619.30 : 779,830,160,428.95 = 519,886,773,619.30 : x
  2. Step 2: Convert to fraction form
    519,886,773,619.30/779,830,160,428.95 = 519,886,773,619.30/x
  3. Step 3: Cross multiply
    519,886,773,619.30x = 779,830,160,428.95 × 519,886,773,619.30
  4. Step 4: Simplify right side
    519,886,773,619.30x = 405,423,386,076,427,925,323,776
  5. Step 5: Solve for x
    x = 405,423,386,076,427,925,323,776/519,886,773,619.30
  6. Step 6: Final answer
    x = 779,830,160,428.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.