Finding the Fourth Proportional to 4,358,489,725,835.40, 6,014,898,549,964 and 2,506,599,325,878.30
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Solution
The fourth proportional to 4,358,489,725,835.40, 6,014,898,549,964 and 2,506,599,325,878.30 is: 3,459,212,158,100.55
Step by Step Solution
- Step 1: Write the proportion equation
4,358,489,725,835.40 : 6,014,898,549,964 = 2,506,599,325,878.30 : x - Step 2: Convert to fraction form
4,358,489,725,835.40/6,014,898,549,964 = 2,506,599,325,878.30/x - Step 3: Cross multiply
4,358,489,725,835.40x = 6,014,898,549,964 × 2,506,599,325,878.30 - Step 4: Simplify right side
4,358,489,725,835.40x = 15,076,940,650,566,125,919,141,888 - Step 5: Solve for x
x = 15,076,940,650,566,125,919,141,888/4,358,489,725,835.40 - Step 6: Final answer
x = 3,459,212,158,100.55
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.