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Finding the Fourth Proportional to 148,607,136,019.20, 208,637,721,657.60 and 148,607,136,019.20

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Solution

The fourth proportional to 148,607,136,019.20, 208,637,721,657.60 and 148,607,136,019.20 is: 208,637,721,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,607,136,019.20 : 208,637,721,657.60 = 148,607,136,019.20 : x
  2. Step 2: Convert to fraction form
    148,607,136,019.20/208,637,721,657.60 = 148,607,136,019.20/x
  3. Step 3: Cross multiply
    148,607,136,019.20x = 208,637,721,657.60 × 148,607,136,019.20
  4. Step 4: Simplify right side
    148,607,136,019.20x = 31,005,054,281,106,956,746,752
  5. Step 5: Solve for x
    x = 31,005,054,281,106,956,746,752/148,607,136,019.20
  6. Step 6: Final answer
    x = 208,637,721,657.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.