Finding the Fourth Proportional to 1,574,506,237,722.10, 2,361,759,362,249.60 and 442,581,611,044.60
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Solution
The fourth proportional to 1,574,506,237,722.10, 2,361,759,362,249.60 and 442,581,611,044.60 is: 663,872,418,159.70
Step by Step Solution
- Step 1: Write the proportion equation
1,574,506,237,722.10 : 2,361,759,362,249.60 = 442,581,611,044.60 : x - Step 2: Convert to fraction form
1,574,506,237,722.10/2,361,759,362,249.60 = 442,581,611,044.60/x - Step 3: Cross multiply
1,574,506,237,722.10x = 2,361,759,362,249.60 × 442,581,611,044.60 - Step 4: Simplify right side
1,574,506,237,722.10x = 1,045,271,263,444,094,955,814,912 - Step 5: Solve for x
x = 1,045,271,263,444,094,955,814,912/1,574,506,237,722.10 - Step 6: Final answer
x = 663,872,418,159.70
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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.