Finding the Fourth Proportional to 149,838,417,206.16, 224,667,869,051.68 and 47,690,888,237.40
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Solution
The fourth proportional to 149,838,417,206.16, 224,667,869,051.68 and 47,690,888,237.40 is: 71,507,764,385.53
Step by Step Solution
- Step 1: Write the proportion equation
149,838,417,206.16 : 224,667,869,051.68 = 47,690,888,237.40 : x - Step 2: Convert to fraction form
149,838,417,206.16/224,667,869,051.68 = 47,690,888,237.40/x - Step 3: Cross multiply
149,838,417,206.16x = 224,667,869,051.68 × 47,690,888,237.40 - Step 4: Simplify right side
149,838,417,206.16x = 10,714,610,233,478,488,260,608 - Step 5: Solve for x
x = 10,714,610,233,478,488,260,608/149,838,417,206.16 - Step 6: Final answer
x = 71,507,764,385.53
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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.