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Finding the Fourth Proportional to 1,068,569,892,458, 1,602,854,838,686.90 and 1,068,569,892,458

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Solution

The fourth proportional to 1,068,569,892,458, 1,602,854,838,686.90 and 1,068,569,892,458 is: 1,602,854,838,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068,569,892,458 : 1,602,854,838,686.90 = 1,068,569,892,458 : x
  2. Step 2: Convert to fraction form
    1,068,569,892,458/1,602,854,838,686.90 = 1,068,569,892,458/x
  3. Step 3: Cross multiply
    1,068,569,892,458x = 1,602,854,838,686.90 × 1,068,569,892,458
  4. Step 4: Simplify right side
    1,068,569,892,458x = 1,712,762,422,601,445,529,354,240
  5. Step 5: Solve for x
    x = 1,712,762,422,601,445,529,354,240/1,068,569,892,458
  6. Step 6: Final answer
    x = 1,602,854,838,686.90

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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.