Finding the Fourth Proportional to 1,574,506,237,720.80, 2,361,759,362,248.20 and 442,581,611,043.30
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Solution
The fourth proportional to 1,574,506,237,720.80, 2,361,759,362,248.20 and 442,581,611,043.30 is: 663,872,418,157.90
Step by Step Solution
- Step 1: Write the proportion equation
1,574,506,237,720.80 : 2,361,759,362,248.20 = 442,581,611,043.30 : x - Step 2: Convert to fraction form
1,574,506,237,720.80/2,361,759,362,248.20 = 442,581,611,043.30/x - Step 3: Cross multiply
1,574,506,237,720.80x = 2,361,759,362,248.20 × 442,581,611,043.30 - Step 4: Simplify right side
1,574,506,237,720.80x = 1,045,271,263,440,405,176,254,464 - Step 5: Solve for x
x = 1,045,271,263,440,405,176,254,464/1,574,506,237,720.80 - Step 6: Final answer
x = 663,872,418,157.90
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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.